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Simplifying x + 5 + -2x = 7 + -3x + 2 Reorder the terms: 5 + x + -2x = 7 + -3x + 2 Combine like terms: x + -2x = -1x 5 + -1x = 7 + -3x + 2 Reorder the terms: 5 + -1x = 7 + 2 + -3x Combine like terms: 7 + 2 = 9 5 + -1x = 9 + -3x Solving 5 + -1x = 9 + -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. 5 + -1x + 3x = 9 + -3x + 3x Combine like terms: -1x + 3x = 2x 5 + 2x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 2x = 9 + 0 5 + 2x = 9 Add '-5' to each side of the equation. 5 + -5 + 2x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 9 + -5 2x = 9 + -5 Combine like terms: 9 + -5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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