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Simplifying 2x + -1 + 3x + 2 = 7x + 3 + -5x + 7 Reorder the terms: -1 + 2 + 2x + 3x = 7x + 3 + -5x + 7 Combine like terms: -1 + 2 = 1 1 + 2x + 3x = 7x + 3 + -5x + 7 Combine like terms: 2x + 3x = 5x 1 + 5x = 7x + 3 + -5x + 7 Reorder the terms: 1 + 5x = 3 + 7 + 7x + -5x Combine like terms: 3 + 7 = 10 1 + 5x = 10 + 7x + -5x Combine like terms: 7x + -5x = 2x 1 + 5x = 10 + 2x Solving 1 + 5x = 10 + 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. 1 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = 10 + 0 1 + 3x = 10 Add '-1' to each side of the equation. 1 + -1 + 3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 10 + -1 3x = 10 + -1 Combine like terms: 10 + -1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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