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Simplifying -5(12 + -4x) = 8(3x + 9) (12 * -5 + -4x * -5) = 8(3x + 9) (-60 + 20x) = 8(3x + 9) Reorder the terms: -60 + 20x = 8(9 + 3x) -60 + 20x = (9 * 8 + 3x * 8) -60 + 20x = (72 + 24x) Solving -60 + 20x = 72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -60 + 20x + -24x = 72 + 24x + -24x Combine like terms: 20x + -24x = -4x -60 + -4x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 -60 + -4x = 72 + 0 -60 + -4x = 72 Add '60' to each side of the equation. -60 + 60 + -4x = 72 + 60 Combine like terms: -60 + 60 = 0 0 + -4x = 72 + 60 -4x = 72 + 60 Combine like terms: 72 + 60 = 132 -4x = 132 Divide each side by '-4'. x = -33 Simplifying x = -33
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