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Simplifying x + -2x + 2 = 3x + 4 Reorder the terms: 2 + x + -2x = 3x + 4 Combine like terms: x + -2x = -1x 2 + -1x = 3x + 4 Reorder the terms: 2 + -1x = 4 + 3x Solving 2 + -1x = 4 + 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. 2 + -1x + -3x = 4 + 3x + -3x Combine like terms: -1x + -3x = -4x 2 + -4x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -4x = 4 + 0 2 + -4x = 4 Add '-2' to each side of the equation. 2 + -2 + -4x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 4 + -2 -4x = 4 + -2 Combine like terms: 4 + -2 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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