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Simplifying 3(x + 7) + 8 = 6(2x + -3) + -2 Reorder the terms: 3(7 + x) + 8 = 6(2x + -3) + -2 (7 * 3 + x * 3) + 8 = 6(2x + -3) + -2 (21 + 3x) + 8 = 6(2x + -3) + -2 Reorder the terms: 21 + 8 + 3x = 6(2x + -3) + -2 Combine like terms: 21 + 8 = 29 29 + 3x = 6(2x + -3) + -2 Reorder the terms: 29 + 3x = 6(-3 + 2x) + -2 29 + 3x = (-3 * 6 + 2x * 6) + -2 29 + 3x = (-18 + 12x) + -2 Reorder the terms: 29 + 3x = -18 + -2 + 12x Combine like terms: -18 + -2 = -20 29 + 3x = -20 + 12x Solving 29 + 3x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 29 + 3x + -12x = -20 + 12x + -12x Combine like terms: 3x + -12x = -9x 29 + -9x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 29 + -9x = -20 + 0 29 + -9x = -20 Add '-29' to each side of the equation. 29 + -29 + -9x = -20 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = -20 + -29 -9x = -20 + -29 Combine like terms: -20 + -29 = -49 -9x = -49 Divide each side by '-9'. x = 5.444444444 Simplifying x = 5.444444444
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