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Simplifying -2x + 3 = 1x + -2 Reorder the terms: 3 + -2x = 1x + -2 Reorder the terms: 3 + -2x = -2 + 1x Solving 3 + -2x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -2x + -1x = -2 + 1x + -1x Combine like terms: -2x + -1x = -3x 3 + -3x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -3x = -2 + 0 3 + -3x = -2 Add '-3' to each side of the equation. 3 + -3 + -3x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -2 + -3 -3x = -2 + -3 Combine like terms: -2 + -3 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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