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Simplifying 13(x + 13) = 5x + 113 Reorder the terms: 13(13 + x) = 5x + 113 (13 * 13 + x * 13) = 5x + 113 (169 + 13x) = 5x + 113 Reorder the terms: 169 + 13x = 113 + 5x Solving 169 + 13x = 113 + 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 = 113 + 5x + -5x Combine like terms: 13x + -5x = 8x 169 + 8x = 113 + 5x + -5x Combine like terms: 5x + -5x = 0 169 + 8x = 113 + 0 169 + 8x = 113 Add '-169' to each side of the equation. 169 + -169 + 8x = 113 + -169 Combine like terms: 169 + -169 = 0 0 + 8x = 113 + -169 8x = 113 + -169 Combine like terms: 113 + -169 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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