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Simplifying 4(-5 + -5x) = 12(8x + 8) (-5 * 4 + -5x * 4) = 12(8x + 8) (-20 + -20x) = 12(8x + 8) Reorder the terms: -20 + -20x = 12(8 + 8x) -20 + -20x = (8 * 12 + 8x * 12) -20 + -20x = (96 + 96x) Solving -20 + -20x = 96 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -20 + -20x + -96x = 96 + 96x + -96x Combine like terms: -20x + -96x = -116x -20 + -116x = 96 + 96x + -96x Combine like terms: 96x + -96x = 0 -20 + -116x = 96 + 0 -20 + -116x = 96 Add '20' to each side of the equation. -20 + 20 + -116x = 96 + 20 Combine like terms: -20 + 20 = 0 0 + -116x = 96 + 20 -116x = 96 + 20 Combine like terms: 96 + 20 = 116 -116x = 116 Divide each side by '-116'. x = -1 Simplifying x = -1
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