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Simplifying 13(x + -13) = 5(x + -5) Reorder the terms: 13(-13 + x) = 5(x + -5) (-13 * 13 + x * 13) = 5(x + -5) (-169 + 13x) = 5(x + -5) Reorder the terms: -169 + 13x = 5(-5 + x) -169 + 13x = (-5 * 5 + x * 5) -169 + 13x = (-25 + 5x) Solving -169 + 13x = -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. -169 + 13x + -5x = -25 + 5x + -5x Combine like terms: 13x + -5x = 8x -169 + 8x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -169 + 8x = -25 + 0 -169 + 8x = -25 Add '169' to each side of the equation. -169 + 169 + 8x = -25 + 169 Combine like terms: -169 + 169 = 0 0 + 8x = -25 + 169 8x = -25 + 169 Combine like terms: -25 + 169 = 144 8x = 144 Divide each side by '8'. x = 18 Simplifying x = 18
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