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Simplifying 4(10x + 2) + -1(2x + -6) = 8 Reorder the terms: 4(2 + 10x) + -1(2x + -6) = 8 (2 * 4 + 10x * 4) + -1(2x + -6) = 8 (8 + 40x) + -1(2x + -6) = 8 Reorder the terms: 8 + 40x + -1(-6 + 2x) = 8 8 + 40x + (-6 * -1 + 2x * -1) = 8 8 + 40x + (6 + -2x) = 8 Reorder the terms: 8 + 6 + 40x + -2x = 8 Combine like terms: 8 + 6 = 14 14 + 40x + -2x = 8 Combine like terms: 40x + -2x = 38x 14 + 38x = 8 Solving 14 + 38x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 38x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 38x = 8 + -14 38x = 8 + -14 Combine like terms: 8 + -14 = -6 38x = -6 Divide each side by '38'. x = -0.1578947368 Simplifying x = -0.1578947368
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