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Simplifying 2(1 + -4x) = 2(5x + 3) (1 * 2 + -4x * 2) = 2(5x + 3) (2 + -8x) = 2(5x + 3) Reorder the terms: 2 + -8x = 2(3 + 5x) 2 + -8x = (3 * 2 + 5x * 2) 2 + -8x = (6 + 10x) Solving 2 + -8x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -8x + -10x = 6 + 10x + -10x Combine like terms: -8x + -10x = -18x 2 + -18x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -18x = 6 + 0 2 + -18x = 6 Add '-2' to each side of the equation. 2 + -2 + -18x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = 6 + -2 -18x = 6 + -2 Combine like terms: 6 + -2 = 4 -18x = 4 Divide each side by '-18'. x = -0.2222222222 Simplifying x = -0.2222222222
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