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Simplifying 5(8x + 4) + -1(2x + -6) = 4(52x + 65) Reorder the terms: 5(4 + 8x) + -1(2x + -6) = 4(52x + 65) (4 * 5 + 8x * 5) + -1(2x + -6) = 4(52x + 65) (20 + 40x) + -1(2x + -6) = 4(52x + 65) Reorder the terms: 20 + 40x + -1(-6 + 2x) = 4(52x + 65) 20 + 40x + (-6 * -1 + 2x * -1) = 4(52x + 65) 20 + 40x + (6 + -2x) = 4(52x + 65) Reorder the terms: 20 + 6 + 40x + -2x = 4(52x + 65) Combine like terms: 20 + 6 = 26 26 + 40x + -2x = 4(52x + 65) Combine like terms: 40x + -2x = 38x 26 + 38x = 4(52x + 65) Reorder the terms: 26 + 38x = 4(65 + 52x) 26 + 38x = (65 * 4 + 52x * 4) 26 + 38x = (260 + 208x) Solving 26 + 38x = 260 + 208x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-208x' to each side of the equation. 26 + 38x + -208x = 260 + 208x + -208x Combine like terms: 38x + -208x = -170x 26 + -170x = 260 + 208x + -208x Combine like terms: 208x + -208x = 0 26 + -170x = 260 + 0 26 + -170x = 260 Add '-26' to each side of the equation. 26 + -26 + -170x = 260 + -26 Combine like terms: 26 + -26 = 0 0 + -170x = 260 + -26 -170x = 260 + -26 Combine like terms: 260 + -26 = 234 -170x = 234 Divide each side by '-170'. x = -1.376470588 Simplifying x = -1.376470588
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