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Simplifying 8(x + -9) + -9(x + -8) = x + 8(x + -4) Reorder the terms: 8(-9 + x) + -9(x + -8) = x + 8(x + -4) (-9 * 8 + x * 8) + -9(x + -8) = x + 8(x + -4) (-72 + 8x) + -9(x + -8) = x + 8(x + -4) Reorder the terms: -72 + 8x + -9(-8 + x) = x + 8(x + -4) -72 + 8x + (-8 * -9 + x * -9) = x + 8(x + -4) -72 + 8x + (72 + -9x) = x + 8(x + -4) Reorder the terms: -72 + 72 + 8x + -9x = x + 8(x + -4) Combine like terms: -72 + 72 = 0 0 + 8x + -9x = x + 8(x + -4) 8x + -9x = x + 8(x + -4) Combine like terms: 8x + -9x = -1x -1x = x + 8(x + -4) Reorder the terms: -1x = x + 8(-4 + x) -1x = x + (-4 * 8 + x * 8) -1x = x + (-32 + 8x) Reorder the terms: -1x = -32 + x + 8x Combine like terms: x + 8x = 9x -1x = -32 + 9x Solving -1x = -32 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1x + -9x = -32 + 9x + -9x Combine like terms: -1x + -9x = -10x -10x = -32 + 9x + -9x Combine like terms: 9x + -9x = 0 -10x = -32 + 0 -10x = -32 Divide each side by '-10'. x = 3.2 Simplifying x = 3.2
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