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Simplifying 5(2x + -7) = -5(-39 + -4x) Reorder the terms: 5(-7 + 2x) = -5(-39 + -4x) (-7 * 5 + 2x * 5) = -5(-39 + -4x) (-35 + 10x) = -5(-39 + -4x) -35 + 10x = (-39 * -5 + -4x * -5) -35 + 10x = (195 + 20x) Solving -35 + 10x = 195 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -35 + 10x + -20x = 195 + 20x + -20x Combine like terms: 10x + -20x = -10x -35 + -10x = 195 + 20x + -20x Combine like terms: 20x + -20x = 0 -35 + -10x = 195 + 0 -35 + -10x = 195 Add '35' to each side of the equation. -35 + 35 + -10x = 195 + 35 Combine like terms: -35 + 35 = 0 0 + -10x = 195 + 35 -10x = 195 + 35 Combine like terms: 195 + 35 = 230 -10x = 230 Divide each side by '-10'. x = -23 Simplifying x = -23
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