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Simplifying 5(-4x + 7) = -10x + -85 Reorder the terms: 5(7 + -4x) = -10x + -85 (7 * 5 + -4x * 5) = -10x + -85 (35 + -20x) = -10x + -85 Reorder the terms: 35 + -20x = -85 + -10x Solving 35 + -20x = -85 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 35 + -20x + 10x = -85 + -10x + 10x Combine like terms: -20x + 10x = -10x 35 + -10x = -85 + -10x + 10x Combine like terms: -10x + 10x = 0 35 + -10x = -85 + 0 35 + -10x = -85 Add '-35' to each side of the equation. 35 + -35 + -10x = -85 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = -85 + -35 -10x = -85 + -35 Combine like terms: -85 + -35 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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