1. Solve each equation for $x$ by isolating $x$ on one side. a. $2x + 1 = 5$ Subtract 1: $2x = 4$ Divide by 2: $x = 2$ b. $4x + 7 = 27$ Subtract 7: $4x = 20$ Divide by 4: $x = 5$ c. $7 + 3x = 19$ Subtract 7: $3x = 12$ Divide by 3: $x = 4$ d. $3x + 1 = -23$ Subtract 1: $3x = -24$ Divide by 3: $x = -8$ e. $5x - 9 = 11$ Add 9: $5x = 20$ Divide by 5: $x = 4$ f. $-3 + 8x = 0$ Add 3: $8x = 3$ Divide by 8: $x = \frac{3}{8}$ g. $2x - 7 = -4$ Add 7: $2x = 3$ Divide by 2: $x = \frac{3}{2}$ h. $2x - 11 = 23$ Add 11: $2x = 34$ Divide by 2: $x = 17$ i. $7 + 8x = -9$ Subtract 7: $8x = -16$ Divide by 8: $x = -2$ j. $6 + 3x = 0$ Subtract 6: $3x = -6$ Divide by 3: $x = -2$ k. $8 + 13x = 34$ Subtract 8: $13x = 26$ Divide by 13: $x = 2$ l. $11 + 4x = -6$ Subtract 11: $4x = -17$ Divide by 4: $x = -\frac{17}{4}$ 2. Solve each equation for $x$ by isolating $x$ on one side. a. $6 - x = 9$ Subtract 6: $-x = 3$ Multiply by -1: $x = -3$ b. $-x + 3 = -11$ Subtract 3: $-x = -14$ Multiply by -1: $x = 14$ c. $-2x + 7 = 13$ Subtract 7: $-2x = 6$ Divide by -2: $x = -3$ d. $15 - 2x = 7$ Subtract 15: $-2x = -8$ Divide by -2: $x = 4$ e. $2 - 3x = 8$ Subtract 2: $-3x = 6$ Divide by -3: $x = -2$ f. $1 - 4x = -15$ Subtract 1: $-4x = -16$ Divide by -4: $x = 4$ g. $-5x + 4 = -21$ Subtract 4: $-5x = -25$ Divide by -5: $x = 5$ h. $16 - 8x = 11$ Subtract 16: $-8x = -5$ Divide by -8: $x = \frac{5}{8}$ i. $22 - 3x = 1$ Subtract 22: $-3x = -21$ Divide by -3: $x = 7$ j. $14 - x = -1$ Subtract 14: $-x = -15$ Multiply by -1: $x = 15$ k. $19 - 4x = -10$ Subtract 19: $-4x = -29$ Divide by -4: $x = \frac{29}{4}$ l. $-5x + 12 = -9$ Subtract 12: $-5x = -21$ Divide by -5: $x = \frac{21}{5}$ Final answers: 1a. $x=2$, 1b. $x=5$, 1c. $x=4$, 1d. $x=-8$, 1e. $x=4$, 1f. $x=\frac{3}{8}$, 1g. $x=\frac{3}{2}$, 1h. $x=17$, 1i. $x=-2$, 1j. $x=-2$, 1k. $x=2$, 1l. $x=-\frac{17}{4}$ 2a. $x=-3$, 2b. $x=14$, 2c. $x=-3$, 2d. $x=4$, 2e. $x=-2$, 2f. $x=4$, 2g. $x=5$, 2h. $x=\frac{5}{8}$, 2i. $x=7$, 2j. $x=15$, 2k. $x=\frac{29}{4}$, 2l. $x=\frac{21}{5}$