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