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Simplifying 3 + -2(4 + -1(x + 2(2x + -1))) = 1 Reorder the terms: 3 + -2(4 + -1(x + 2(-1 + 2x))) = 1 3 + -2(4 + -1(x + (-1 * 2 + 2x * 2))) = 1 3 + -2(4 + -1(x + (-2 + 4x))) = 1 Reorder the terms: 3 + -2(4 + -1(-2 + x + 4x)) = 1 Combine like terms: x + 4x = 5x 3 + -2(4 + -1(-2 + 5x)) = 1 3 + -2(4 + (-2 * -1 + 5x * -1)) = 1 3 + -2(4 + (2 + -5x)) = 1 Combine like terms: 4 + 2 = 6 3 + -2(6 + -5x) = 1 3 + (6 * -2 + -5x * -2) = 1 3 + (-12 + 10x) = 1 Combine like terms: 3 + -12 = -9 -9 + 10x = 1 Solving -9 + 10x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 1 + 9 10x = 1 + 9 Combine like terms: 1 + 9 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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