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Simplifying 5(x + 5) = 3(x + -3) Reorder the terms: 5(5 + x) = 3(x + -3) (5 * 5 + x * 5) = 3(x + -3) (25 + 5x) = 3(x + -3) Reorder the terms: 25 + 5x = 3(-3 + x) 25 + 5x = (-3 * 3 + x * 3) 25 + 5x = (-9 + 3x) Solving 25 + 5x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x 25 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 2x = -9 + 0 25 + 2x = -9 Add '-25' to each side of the equation. 25 + -25 + 2x = -9 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = -9 + -25 2x = -9 + -25 Combine like terms: -9 + -25 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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