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