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Simplifying -5(x + 5) = 2(x + 5) Reorder the terms: -5(5 + x) = 2(x + 5) (5 * -5 + x * -5) = 2(x + 5) (-25 + -5x) = 2(x + 5) Reorder the terms: -25 + -5x = 2(5 + x) -25 + -5x = (5 * 2 + x * 2) -25 + -5x = (10 + 2x) Solving -25 + -5x = 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. -25 + -5x + -2x = 10 + 2x + -2x Combine like terms: -5x + -2x = -7x -25 + -7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + -7x = 10 + 0 -25 + -7x = 10 Add '25' to each side of the equation. -25 + 25 + -7x = 10 + 25 Combine like terms: -25 + 25 = 0 0 + -7x = 10 + 25 -7x = 10 + 25 Combine like terms: 10 + 25 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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