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Simplifying 4 + 2(1 + -5(x + -2)) = 2(x + 1) Reorder the terms: 4 + 2(1 + -5(-2 + x)) = 2(x + 1) 4 + 2(1 + (-2 * -5 + x * -5)) = 2(x + 1) 4 + 2(1 + (10 + -5x)) = 2(x + 1) Combine like terms: 1 + 10 = 11 4 + 2(11 + -5x) = 2(x + 1) 4 + (11 * 2 + -5x * 2) = 2(x + 1) 4 + (22 + -10x) = 2(x + 1) Combine like terms: 4 + 22 = 26 26 + -10x = 2(x + 1) Reorder the terms: 26 + -10x = 2(1 + x) 26 + -10x = (1 * 2 + x * 2) 26 + -10x = (2 + 2x) Solving 26 + -10x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 26 + -10x + -2x = 2 + 2x + -2x Combine like terms: -10x + -2x = -12x 26 + -12x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + -12x = 2 + 0 26 + -12x = 2 Add '-26' to each side of the equation. 26 + -26 + -12x = 2 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = 2 + -26 -12x = 2 + -26 Combine like terms: 2 + -26 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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