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Simplifying 3x + -7(2x + -13) = 13(-2x + 9) Reorder the terms: 3x + -7(-13 + 2x) = 13(-2x + 9) 3x + (-13 * -7 + 2x * -7) = 13(-2x + 9) 3x + (91 + -14x) = 13(-2x + 9) Reorder the terms: 91 + 3x + -14x = 13(-2x + 9) Combine like terms: 3x + -14x = -11x 91 + -11x = 13(-2x + 9) Reorder the terms: 91 + -11x = 13(9 + -2x) 91 + -11x = (9 * 13 + -2x * 13) 91 + -11x = (117 + -26x) Solving 91 + -11x = 117 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 91 + -11x + 26x = 117 + -26x + 26x Combine like terms: -11x + 26x = 15x 91 + 15x = 117 + -26x + 26x Combine like terms: -26x + 26x = 0 91 + 15x = 117 + 0 91 + 15x = 117 Add '-91' to each side of the equation. 91 + -91 + 15x = 117 + -91 Combine like terms: 91 + -91 = 0 0 + 15x = 117 + -91 15x = 117 + -91 Combine like terms: 117 + -91 = 26 15x = 26 Divide each side by '15'. x = 1.733333333 Simplifying x = 1.733333333
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