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Simplifying 9(3x + -2) + -7(4x + -7) = 2(x + 20) Reorder the terms: 9(-2 + 3x) + -7(4x + -7) = 2(x + 20) (-2 * 9 + 3x * 9) + -7(4x + -7) = 2(x + 20) (-18 + 27x) + -7(4x + -7) = 2(x + 20) Reorder the terms: -18 + 27x + -7(-7 + 4x) = 2(x + 20) -18 + 27x + (-7 * -7 + 4x * -7) = 2(x + 20) -18 + 27x + (49 + -28x) = 2(x + 20) Reorder the terms: -18 + 49 + 27x + -28x = 2(x + 20) Combine like terms: -18 + 49 = 31 31 + 27x + -28x = 2(x + 20) Combine like terms: 27x + -28x = -1x 31 + -1x = 2(x + 20) Reorder the terms: 31 + -1x = 2(20 + x) 31 + -1x = (20 * 2 + x * 2) 31 + -1x = (40 + 2x) Solving 31 + -1x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + -1x + -2x = 40 + 2x + -2x Combine like terms: -1x + -2x = -3x 31 + -3x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -3x = 40 + 0 31 + -3x = 40 Add '-31' to each side of the equation. 31 + -31 + -3x = 40 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 40 + -31 -3x = 40 + -31 Combine like terms: 40 + -31 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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