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Simplifying 5(x + 2) = -2(1 + -1(3 + -1x)) Reorder the terms: 5(2 + x) = -2(1 + -1(3 + -1x)) (2 * 5 + x * 5) = -2(1 + -1(3 + -1x)) (10 + 5x) = -2(1 + -1(3 + -1x)) 10 + 5x = -2(1 + (3 * -1 + -1x * -1)) 10 + 5x = -2(1 + (-3 + 1x)) Combine like terms: 1 + -3 = -2 10 + 5x = -2(-2 + 1x) 10 + 5x = (-2 * -2 + 1x * -2) 10 + 5x = (4 + -2x) Solving 10 + 5x = 4 + -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. 10 + 5x + 2x = 4 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 7x = 4 + 0 10 + 7x = 4 Add '-10' to each side of the equation. 10 + -10 + 7x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 4 + -10 7x = 4 + -10 Combine like terms: 4 + -10 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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