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Simplifying 4(x + -4) = 12x Reorder the terms: 4(-4 + x) = 12x (-4 * 4 + x * 4) = 12x (-16 + 4x) = 12x Solving -16 + 4x = 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. -16 + 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x -16 + -8x = 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -8x = 0 Add '16' to each side of the equation. -16 + 16 + -8x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 0 + 16 -8x = 0 + 16 Combine like terms: 0 + 16 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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