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Simplifying 8(x + -4) = 12(x + 1) Reorder the terms: 8(-4 + x) = 12(x + 1) (-4 * 8 + x * 8) = 12(x + 1) (-32 + 8x) = 12(x + 1) Reorder the terms: -32 + 8x = 12(1 + x) -32 + 8x = (1 * 12 + x * 12) -32 + 8x = (12 + 12x) Solving -32 + 8x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 8x + -12x = 12 + 12x + -12x Combine like terms: 8x + -12x = -4x -32 + -4x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -4x = 12 + 0 -32 + -4x = 12 Add '32' to each side of the equation. -32 + 32 + -4x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 12 + 32 -4x = 12 + 32 Combine like terms: 12 + 32 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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