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