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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 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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