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Simplifying 8(x + -4) = 12x + -4 Reorder the terms: 8(-4 + x) = 12x + -4 (-4 * 8 + x * 8) = 12x + -4 (-32 + 8x) = 12x + -4 Reorder the terms: -32 + 8x = -4 + 12x Solving -32 + 8x = -4 + 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 = -4 + 12x + -12x Combine like terms: 8x + -12x = -4x -32 + -4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -4x = -4 + 0 -32 + -4x = -4 Add '32' to each side of the equation. -32 + 32 + -4x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -4 + 32 -4x = -4 + 32 Combine like terms: -4 + 32 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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