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