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Simplifying 5(4x + 2) + -2(1 + -8x) = 8 Reorder the terms: 5(2 + 4x) + -2(1 + -8x) = 8 (2 * 5 + 4x * 5) + -2(1 + -8x) = 8 (10 + 20x) + -2(1 + -8x) = 8 10 + 20x + (1 * -2 + -8x * -2) = 8 10 + 20x + (-2 + 16x) = 8 Reorder the terms: 10 + -2 + 20x + 16x = 8 Combine like terms: 10 + -2 = 8 8 + 20x + 16x = 8 Combine like terms: 20x + 16x = 36x 8 + 36x = 8 Add '-8' to each side of the equation. 8 + -8 + 36x = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 36x = 8 + -8 36x = 8 + -8 Combine like terms: 8 + -8 = 0 36x = 0 Solving 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '36'. x = 0 Simplifying x = 0
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