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Simplifying -4(4x + 5) = -12(x + 2) Reorder the terms: -4(5 + 4x) = -12(x + 2) (5 * -4 + 4x * -4) = -12(x + 2) (-20 + -16x) = -12(x + 2) Reorder the terms: -20 + -16x = -12(2 + x) -20 + -16x = (2 * -12 + x * -12) -20 + -16x = (-24 + -12x) Solving -20 + -16x = -24 + -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. -20 + -16x + 12x = -24 + -12x + 12x Combine like terms: -16x + 12x = -4x -20 + -4x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + -4x = -24 + 0 -20 + -4x = -24 Add '20' to each side of the equation. -20 + 20 + -4x = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -24 + 20 -4x = -24 + 20 Combine like terms: -24 + 20 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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