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Simplifying 3x + 2 + -1x = 5x + 17 Reorder the terms: 2 + 3x + -1x = 5x + 17 Combine like terms: 3x + -1x = 2x 2 + 2x = 5x + 17 Reorder the terms: 2 + 2x = 17 + 5x Solving 2 + 2x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 2x + -5x = 17 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = 17 + 0 2 + -3x = 17 Add '-2' to each side of the equation. 2 + -2 + -3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 17 + -2 -3x = 17 + -2 Combine like terms: 17 + -2 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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