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Simplifying -4(3x + 5) = 2(5 + -1x) Reorder the terms: -4(5 + 3x) = 2(5 + -1x) (5 * -4 + 3x * -4) = 2(5 + -1x) (-20 + -12x) = 2(5 + -1x) -20 + -12x = (5 * 2 + -1x * 2) -20 + -12x = (10 + -2x) Solving -20 + -12x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + -12x + 2x = 10 + -2x + 2x Combine like terms: -12x + 2x = -10x -20 + -10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -10x = 10 + 0 -20 + -10x = 10 Add '20' to each side of the equation. -20 + 20 + -10x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = 10 + 20 -10x = 10 + 20 Combine like terms: 10 + 20 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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