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Simplifying -5(8x + 7) = -7(5x + -5) Reorder the terms: -5(7 + 8x) = -7(5x + -5) (7 * -5 + 8x * -5) = -7(5x + -5) (-35 + -40x) = -7(5x + -5) Reorder the terms: -35 + -40x = -7(-5 + 5x) -35 + -40x = (-5 * -7 + 5x * -7) -35 + -40x = (35 + -35x) Solving -35 + -40x = 35 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -35 + -40x + 35x = 35 + -35x + 35x Combine like terms: -40x + 35x = -5x -35 + -5x = 35 + -35x + 35x Combine like terms: -35x + 35x = 0 -35 + -5x = 35 + 0 -35 + -5x = 35 Add '35' to each side of the equation. -35 + 35 + -5x = 35 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = 35 + 35 -5x = 35 + 35 Combine like terms: 35 + 35 = 70 -5x = 70 Divide each side by '-5'. x = -14 Simplifying x = -14
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