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Simplifying 13(3x + 4) + -7(2x + -5) = 5x + -15 Reorder the terms: 13(4 + 3x) + -7(2x + -5) = 5x + -15 (4 * 13 + 3x * 13) + -7(2x + -5) = 5x + -15 (52 + 39x) + -7(2x + -5) = 5x + -15 Reorder the terms: 52 + 39x + -7(-5 + 2x) = 5x + -15 52 + 39x + (-5 * -7 + 2x * -7) = 5x + -15 52 + 39x + (35 + -14x) = 5x + -15 Reorder the terms: 52 + 35 + 39x + -14x = 5x + -15 Combine like terms: 52 + 35 = 87 87 + 39x + -14x = 5x + -15 Combine like terms: 39x + -14x = 25x 87 + 25x = 5x + -15 Reorder the terms: 87 + 25x = -15 + 5x Solving 87 + 25x = -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. 87 + 25x + -5x = -15 + 5x + -5x Combine like terms: 25x + -5x = 20x 87 + 20x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 87 + 20x = -15 + 0 87 + 20x = -15 Add '-87' to each side of the equation. 87 + -87 + 20x = -15 + -87 Combine like terms: 87 + -87 = 0 0 + 20x = -15 + -87 20x = -15 + -87 Combine like terms: -15 + -87 = -102 20x = -102 Divide each side by '20'. x = -5.1 Simplifying x = -5.1
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