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Simplifying 3x + 2x + 2 = 13 + -2x + -5 Reorder the terms: 2 + 3x + 2x = 13 + -2x + -5 Combine like terms: 3x + 2x = 5x 2 + 5x = 13 + -2x + -5 Reorder the terms: 2 + 5x = 13 + -5 + -2x Combine like terms: 13 + -5 = 8 2 + 5x = 8 + -2x Solving 2 + 5x = 8 + -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. 2 + 5x + 2x = 8 + -2x + 2x Combine like terms: 5x + 2x = 7x 2 + 7x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 7x = 8 + 0 2 + 7x = 8 Add '-2' to each side of the equation. 2 + -2 + 7x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 8 + -2 7x = 8 + -2 Combine like terms: 8 + -2 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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