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Simplifying 4(-3x + -8) = 8(-1x + 9) Reorder the terms: 4(-8 + -3x) = 8(-1x + 9) (-8 * 4 + -3x * 4) = 8(-1x + 9) (-32 + -12x) = 8(-1x + 9) Reorder the terms: -32 + -12x = 8(9 + -1x) -32 + -12x = (9 * 8 + -1x * 8) -32 + -12x = (72 + -8x) Solving -32 + -12x = 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 + -12x + 8x = 72 + -8x + 8x Combine like terms: -12x + 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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