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Simplifying x + -1(-2x + 4) = -2(-3 + x) Reorder the terms: x + -1(4 + -2x) = -2(-3 + x) x + (4 * -1 + -2x * -1) = -2(-3 + x) x + (-4 + 2x) = -2(-3 + x) Reorder the terms: -4 + x + 2x = -2(-3 + x) Combine like terms: x + 2x = 3x -4 + 3x = -2(-3 + x) -4 + 3x = (-3 * -2 + x * -2) -4 + 3x = (6 + -2x) Solving -4 + 3x = 6 + -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. -4 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x -4 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 5x = 6 + 0 -4 + 5x = 6 Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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