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Simplifying 10(2x + 6) = 13(2x + -7) Reorder the terms: 10(6 + 2x) = 13(2x + -7) (6 * 10 + 2x * 10) = 13(2x + -7) (60 + 20x) = 13(2x + -7) Reorder the terms: 60 + 20x = 13(-7 + 2x) 60 + 20x = (-7 * 13 + 2x * 13) 60 + 20x = (-91 + 26x) Solving 60 + 20x = -91 + 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. 60 + 20x + -26x = -91 + 26x + -26x Combine like terms: 20x + -26x = -6x 60 + -6x = -91 + 26x + -26x Combine like terms: 26x + -26x = 0 60 + -6x = -91 + 0 60 + -6x = -91 Add '-60' to each side of the equation. 60 + -60 + -6x = -91 + -60 Combine like terms: 60 + -60 = 0 0 + -6x = -91 + -60 -6x = -91 + -60 Combine like terms: -91 + -60 = -151 -6x = -151 Divide each side by '-6'. x = 25.16666667 Simplifying x = 25.16666667
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