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Simplifying -9(x + -1) + 4(2x + -2) = -2(x + 9) + 7 Reorder the terms: -9(-1 + x) + 4(2x + -2) = -2(x + 9) + 7 (-1 * -9 + x * -9) + 4(2x + -2) = -2(x + 9) + 7 (9 + -9x) + 4(2x + -2) = -2(x + 9) + 7 Reorder the terms: 9 + -9x + 4(-2 + 2x) = -2(x + 9) + 7 9 + -9x + (-2 * 4 + 2x * 4) = -2(x + 9) + 7 9 + -9x + (-8 + 8x) = -2(x + 9) + 7 Reorder the terms: 9 + -8 + -9x + 8x = -2(x + 9) + 7 Combine like terms: 9 + -8 = 1 1 + -9x + 8x = -2(x + 9) + 7 Combine like terms: -9x + 8x = -1x 1 + -1x = -2(x + 9) + 7 Reorder the terms: 1 + -1x = -2(9 + x) + 7 1 + -1x = (9 * -2 + x * -2) + 7 1 + -1x = (-18 + -2x) + 7 Reorder the terms: 1 + -1x = -18 + 7 + -2x Combine like terms: -18 + 7 = -11 1 + -1x = -11 + -2x Solving 1 + -1x = -11 + -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. 1 + -1x + 2x = -11 + -2x + 2x Combine like terms: -1x + 2x = 1x 1 + 1x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 1x = -11 + 0 1 + 1x = -11 Add '-1' to each side of the equation. 1 + -1 + 1x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -11 + -1 1x = -11 + -1 Combine like terms: -11 + -1 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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