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Simplifying 2(13x + 5) + -1(3x + 7) = 0 Reorder the terms: 2(5 + 13x) + -1(3x + 7) = 0 (5 * 2 + 13x * 2) + -1(3x + 7) = 0 (10 + 26x) + -1(3x + 7) = 0 Reorder the terms: 10 + 26x + -1(7 + 3x) = 0 10 + 26x + (7 * -1 + 3x * -1) = 0 10 + 26x + (-7 + -3x) = 0 Reorder the terms: 10 + -7 + 26x + -3x = 0 Combine like terms: 10 + -7 = 3 3 + 26x + -3x = 0 Combine like terms: 26x + -3x = 23x 3 + 23x = 0 Solving 3 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 23x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 23x = 0 + -3 23x = 0 + -3 Combine like terms: 0 + -3 = -3 23x = -3 Divide each side by '23'. x = -0.1304347826 Simplifying x = -0.1304347826
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