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Simplifying 20(2x + 6) = 5(2 + -1x) + 2x Reorder the terms: 20(6 + 2x) = 5(2 + -1x) + 2x (6 * 20 + 2x * 20) = 5(2 + -1x) + 2x (120 + 40x) = 5(2 + -1x) + 2x 120 + 40x = (2 * 5 + -1x * 5) + 2x 120 + 40x = (10 + -5x) + 2x Combine like terms: -5x + 2x = -3x 120 + 40x = 10 + -3x Solving 120 + 40x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 120 + 40x + 3x = 10 + -3x + 3x Combine like terms: 40x + 3x = 43x 120 + 43x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 120 + 43x = 10 + 0 120 + 43x = 10 Add '-120' to each side of the equation. 120 + -120 + 43x = 10 + -120 Combine like terms: 120 + -120 = 0 0 + 43x = 10 + -120 43x = 10 + -120 Combine like terms: 10 + -120 = -110 43x = -110 Divide each side by '43'. x = -2.558139535 Simplifying x = -2.558139535
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