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Simplifying -13(2x + -3) + -3(13x + 4) + 8 = 7(-4x + 2) + (4x + -3) Reorder the terms: -13(-3 + 2x) + -3(13x + 4) + 8 = 7(-4x + 2) + (4x + -3) (-3 * -13 + 2x * -13) + -3(13x + 4) + 8 = 7(-4x + 2) + (4x + -3) (39 + -26x) + -3(13x + 4) + 8 = 7(-4x + 2) + (4x + -3) Reorder the terms: 39 + -26x + -3(4 + 13x) + 8 = 7(-4x + 2) + (4x + -3) 39 + -26x + (4 * -3 + 13x * -3) + 8 = 7(-4x + 2) + (4x + -3) 39 + -26x + (-12 + -39x) + 8 = 7(-4x + 2) + (4x + -3) Reorder the terms: 39 + -12 + 8 + -26x + -39x = 7(-4x + 2) + (4x + -3) Combine like terms: 39 + -12 = 27 27 + 8 + -26x + -39x = 7(-4x + 2) + (4x + -3) Combine like terms: 27 + 8 = 35 35 + -26x + -39x = 7(-4x + 2) + (4x + -3) Combine like terms: -26x + -39x = -65x 35 + -65x = 7(-4x + 2) + (4x + -3) Reorder the terms: 35 + -65x = 7(2 + -4x) + (4x + -3) 35 + -65x = (2 * 7 + -4x * 7) + (4x + -3) 35 + -65x = (14 + -28x) + (4x + -3) Reorder the terms: 35 + -65x = 14 + -28x + (-3 + 4x) Remove parenthesis around (-3 + 4x) 35 + -65x = 14 + -28x + -3 + 4x Reorder the terms: 35 + -65x = 14 + -3 + -28x + 4x Combine like terms: 14 + -3 = 11 35 + -65x = 11 + -28x + 4x Combine like terms: -28x + 4x = -24x 35 + -65x = 11 + -24x Solving 35 + -65x = 11 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 35 + -65x + 24x = 11 + -24x + 24x Combine like terms: -65x + 24x = -41x 35 + -41x = 11 + -24x + 24x Combine like terms: -24x + 24x = 0 35 + -41x = 11 + 0 35 + -41x = 11 Add '-35' to each side of the equation. 35 + -35 + -41x = 11 + -35 Combine like terms: 35 + -35 = 0 0 + -41x = 11 + -35 -41x = 11 + -35 Combine like terms: 11 + -35 = -24 -41x = -24 Divide each side by '-41'. x = 0.5853658537 Simplifying x = 0.5853658537
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