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Simplifying 13(x + 9) = 5x + 15 Reorder the terms: 13(9 + x) = 5x + 15 (9 * 13 + x * 13) = 5x + 15 (117 + 13x) = 5x + 15 Reorder the terms: 117 + 13x = 15 + 5x Solving 117 + 13x = 15 + 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. 117 + 13x + -5x = 15 + 5x + -5x Combine like terms: 13x + -5x = 8x 117 + 8x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 117 + 8x = 15 + 0 117 + 8x = 15 Add '-117' to each side of the equation. 117 + -117 + 8x = 15 + -117 Combine like terms: 117 + -117 = 0 0 + 8x = 15 + -117 8x = 15 + -117 Combine like terms: 15 + -117 = -102 8x = -102 Divide each side by '8'. x = -12.75 Simplifying x = -12.75
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