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Simplifying 8(x + -9) + -9(x + -9) = x + 8 + -1(x + -4) Reorder the terms: 8(-9 + x) + -9(x + -9) = x + 8 + -1(x + -4) (-9 * 8 + x * 8) + -9(x + -9) = x + 8 + -1(x + -4) (-72 + 8x) + -9(x + -9) = x + 8 + -1(x + -4) Reorder the terms: -72 + 8x + -9(-9 + x) = x + 8 + -1(x + -4) -72 + 8x + (-9 * -9 + x * -9) = x + 8 + -1(x + -4) -72 + 8x + (81 + -9x) = x + 8 + -1(x + -4) Reorder the terms: -72 + 81 + 8x + -9x = x + 8 + -1(x + -4) Combine like terms: -72 + 81 = 9 9 + 8x + -9x = x + 8 + -1(x + -4) Combine like terms: 8x + -9x = -1x 9 + -1x = x + 8 + -1(x + -4) Reorder the terms: 9 + -1x = x + 8 + -1(-4 + x) 9 + -1x = x + 8 + (-4 * -1 + x * -1) 9 + -1x = x + 8 + (4 + -1x) Reorder the terms: 9 + -1x = 8 + 4 + x + -1x Combine like terms: 8 + 4 = 12 9 + -1x = 12 + x + -1x Combine like terms: x + -1x = 0 9 + -1x = 12 + 0 9 + -1x = 12 Solving 9 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 12 + -9 -1x = 12 + -9 Combine like terms: 12 + -9 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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