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Simplifying 3x + -5 + 2(1 + -2x) = 1 + 2x 3x + -5 + (1 * 2 + -2x * 2) = 1 + 2x 3x + -5 + (2 + -4x) = 1 + 2x Reorder the terms: -5 + 2 + 3x + -4x = 1 + 2x Combine like terms: -5 + 2 = -3 -3 + 3x + -4x = 1 + 2x Combine like terms: 3x + -4x = -1x -3 + -1x = 1 + 2x Solving -3 + -1x = 1 + 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. -3 + -1x + -2x = 1 + 2x + -2x Combine like terms: -1x + -2x = -3x -3 + -3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -3x = 1 + 0 -3 + -3x = 1 Add '3' to each side of the equation. -3 + 3 + -3x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 1 + 3 -3x = 1 + 3 Combine like terms: 1 + 3 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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