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Simplifying 3 + -5(8x + -2) = 2(3 + -1x) + 4 Reorder the terms: 3 + -5(-2 + 8x) = 2(3 + -1x) + 4 3 + (-2 * -5 + 8x * -5) = 2(3 + -1x) + 4 3 + (10 + -40x) = 2(3 + -1x) + 4 Combine like terms: 3 + 10 = 13 13 + -40x = 2(3 + -1x) + 4 13 + -40x = (3 * 2 + -1x * 2) + 4 13 + -40x = (6 + -2x) + 4 Reorder the terms: 13 + -40x = 6 + 4 + -2x Combine like terms: 6 + 4 = 10 13 + -40x = 10 + -2x Solving 13 + -40x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + -40x + 2x = 10 + -2x + 2x Combine like terms: -40x + 2x = -38x 13 + -38x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -38x = 10 + 0 13 + -38x = 10 Add '-13' to each side of the equation. 13 + -13 + -38x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -38x = 10 + -13 -38x = 10 + -13 Combine like terms: 10 + -13 = -3 -38x = -3 Divide each side by '-38'. x = 0.07894736842 Simplifying x = 0.07894736842
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