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Simplifying -2(1 + -4x) + 6(5x + -3) = -20 (1 * -2 + -4x * -2) + 6(5x + -3) = -20 (-2 + 8x) + 6(5x + -3) = -20 Reorder the terms: -2 + 8x + 6(-3 + 5x) = -20 -2 + 8x + (-3 * 6 + 5x * 6) = -20 -2 + 8x + (-18 + 30x) = -20 Reorder the terms: -2 + -18 + 8x + 30x = -20 Combine like terms: -2 + -18 = -20 -20 + 8x + 30x = -20 Combine like terms: 8x + 30x = 38x -20 + 38x = -20 Add '20' to each side of the equation. -20 + 20 + 38x = -20 + 20 Combine like terms: -20 + 20 = 0 0 + 38x = -20 + 20 38x = -20 + 20 Combine like terms: -20 + 20 = 0 38x = 0 Solving 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '38'. x = 0 Simplifying x = 0
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