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Simplifying -7(x + -1) = -5(x + -5) Reorder the terms: -7(-1 + x) = -5(x + -5) (-1 * -7 + x * -7) = -5(x + -5) (7 + -7x) = -5(x + -5) Reorder the terms: 7 + -7x = -5(-5 + x) 7 + -7x = (-5 * -5 + x * -5) 7 + -7x = (25 + -5x) Solving 7 + -7x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -7x + 5x = 25 + -5x + 5x Combine like terms: -7x + 5x = -2x 7 + -2x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + -2x = 25 + 0 7 + -2x = 25 Add '-7' to each side of the equation. 7 + -7 + -2x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 25 + -7 -2x = 25 + -7 Combine like terms: 25 + -7 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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