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Simplifying 2(1 + -5x) = 2(4x + 5) (1 * 2 + -5x * 2) = 2(4x + 5) (2 + -10x) = 2(4x + 5) Reorder the terms: 2 + -10x = 2(5 + 4x) 2 + -10x = (5 * 2 + 4x * 2) 2 + -10x = (10 + 8x) Solving 2 + -10x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -10x + -8x = 10 + 8x + -8x Combine like terms: -10x + -8x = -18x 2 + -18x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -18x = 10 + 0 2 + -18x = 10 Add '-2' to each side of the equation. 2 + -2 + -18x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = 10 + -2 -18x = 10 + -2 Combine like terms: 10 + -2 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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