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Simplifying 3x + 2 + -5x + -1 = 5 + -3x + 5 Reorder the terms: 2 + -1 + 3x + -5x = 5 + -3x + 5 Combine like terms: 2 + -1 = 1 1 + 3x + -5x = 5 + -3x + 5 Combine like terms: 3x + -5x = -2x 1 + -2x = 5 + -3x + 5 Reorder the terms: 1 + -2x = 5 + 5 + -3x Combine like terms: 5 + 5 = 10 1 + -2x = 10 + -3x Solving 1 + -2x = 10 + -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. 1 + -2x + 3x = 10 + -3x + 3x Combine like terms: -2x + 3x = 1x 1 + 1x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 1x = 10 + 0 1 + 1x = 10 Add '-1' to each side of the equation. 1 + -1 + 1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 10 + -1 1x = 10 + -1 Combine like terms: 10 + -1 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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