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Simplifying 8(x + -9) + -9(x + 8) = x + 8 + -1(x + -4) Reorder the terms: 8(-9 + x) + -9(x + 8) = x + 8 + -1(x + -4) (-9 * 8 + x * 8) + -9(x + 8) = x + 8 + -1(x + -4) (-72 + 8x) + -9(x + 8) = x + 8 + -1(x + -4) Reorder the terms: -72 + 8x + -9(8 + x) = x + 8 + -1(x + -4) -72 + 8x + (8 * -9 + x * -9) = x + 8 + -1(x + -4) -72 + 8x + (-72 + -9x) = x + 8 + -1(x + -4) Reorder the terms: -72 + -72 + 8x + -9x = x + 8 + -1(x + -4) Combine like terms: -72 + -72 = -144 -144 + 8x + -9x = x + 8 + -1(x + -4) Combine like terms: 8x + -9x = -1x -144 + -1x = x + 8 + -1(x + -4) Reorder the terms: -144 + -1x = x + 8 + -1(-4 + x) -144 + -1x = x + 8 + (-4 * -1 + x * -1) -144 + -1x = x + 8 + (4 + -1x) Reorder the terms: -144 + -1x = 8 + 4 + x + -1x Combine like terms: 8 + 4 = 12 -144 + -1x = 12 + x + -1x Combine like terms: x + -1x = 0 -144 + -1x = 12 + 0 -144 + -1x = 12 Solving -144 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + -1x = 12 + 144 Combine like terms: -144 + 144 = 0 0 + -1x = 12 + 144 -1x = 12 + 144 Combine like terms: 12 + 144 = 156 -1x = 156 Divide each side by '-1'. x = -156 Simplifying x = -156
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