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Simplifying 8(x + -4) = 9(x + -1) Reorder the terms: 8(-4 + x) = 9(x + -1) (-4 * 8 + x * 8) = 9(x + -1) (-32 + 8x) = 9(x + -1) Reorder the terms: -32 + 8x = 9(-1 + x) -32 + 8x = (-1 * 9 + x * 9) -32 + 8x = (-9 + 9x) Solving -32 + 8x = -9 + 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. -32 + 8x + -9x = -9 + 9x + -9x Combine like terms: 8x + -9x = -1x -32 + -1x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -32 + -1x = -9 + 0 -32 + -1x = -9 Add '32' to each side of the equation. -32 + 32 + -1x = -9 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -9 + 32 -1x = -9 + 32 Combine like terms: -9 + 32 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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