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Simplifying 4x + 5(1 + -3(2x + -1)) = 2(2x + 5) Reorder the terms: 4x + 5(1 + -3(-1 + 2x)) = 2(2x + 5) 4x + 5(1 + (-1 * -3 + 2x * -3)) = 2(2x + 5) 4x + 5(1 + (3 + -6x)) = 2(2x + 5) Combine like terms: 1 + 3 = 4 4x + 5(4 + -6x) = 2(2x + 5) 4x + (4 * 5 + -6x * 5) = 2(2x + 5) 4x + (20 + -30x) = 2(2x + 5) Reorder the terms: 20 + 4x + -30x = 2(2x + 5) Combine like terms: 4x + -30x = -26x 20 + -26x = 2(2x + 5) Reorder the terms: 20 + -26x = 2(5 + 2x) 20 + -26x = (5 * 2 + 2x * 2) 20 + -26x = (10 + 4x) Solving 20 + -26x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -26x + -4x = 10 + 4x + -4x Combine like terms: -26x + -4x = -30x 20 + -30x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -30x = 10 + 0 20 + -30x = 10 Add '-20' to each side of the equation. 20 + -20 + -30x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -30x = 10 + -20 -30x = 10 + -20 Combine like terms: 10 + -20 = -10 -30x = -10 Divide each side by '-30'. x = 0.3333333333 Simplifying x = 0.3333333333
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