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Simplifying 4(x + -8) = 8(x + 9) Reorder the terms: 4(-8 + x) = 8(x + 9) (-8 * 4 + x * 4) = 8(x + 9) (-32 + 4x) = 8(x + 9) Reorder the terms: -32 + 4x = 8(9 + x) -32 + 4x = (9 * 8 + x * 8) -32 + 4x = (72 + 8x) Solving -32 + 4x = 72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + 4x + -8x = 72 + 8x + -8x Combine like terms: 4x + -8x = -4x -32 + -4x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -4x = 72 + 0 -32 + -4x = 72 Add '32' to each side of the equation. -32 + 32 + -4x = 72 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 72 + 32 -4x = 72 + 32 Combine like terms: 72 + 32 = 104 -4x = 104 Divide each side by '-4'. x = -26 Simplifying x = -26
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