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