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Simplifying 2(5 + -4x) = 2(5x + 1) (5 * 2 + -4x * 2) = 2(5x + 1) (10 + -8x) = 2(5x + 1) Reorder the terms: 10 + -8x = 2(1 + 5x) 10 + -8x = (1 * 2 + 5x * 2) 10 + -8x = (2 + 10x) Solving 10 + -8x = 2 + 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. 10 + -8x + -10x = 2 + 10x + -10x Combine like terms: -8x + -10x = -18x 10 + -18x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -18x = 2 + 0 10 + -18x = 2 Add '-10' to each side of the equation. 10 + -10 + -18x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = 2 + -10 -18x = 2 + -10 Combine like terms: 2 + -10 = -8 -18x = -8 Divide each side by '-18'. x = 0.4444444444 Simplifying x = 0.4444444444
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