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Simplifying 3x + 8 + -2x = 10 + -2x + 7 Reorder the terms: 8 + 3x + -2x = 10 + -2x + 7 Combine like terms: 3x + -2x = 1x 8 + 1x = 10 + -2x + 7 Reorder the terms: 8 + 1x = 10 + 7 + -2x Combine like terms: 10 + 7 = 17 8 + 1x = 17 + -2x Solving 8 + 1x = 17 + -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. 8 + 1x + 2x = 17 + -2x + 2x Combine like terms: 1x + 2x = 3x 8 + 3x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 3x = 17 + 0 8 + 3x = 17 Add '-8' to each side of the equation. 8 + -8 + 3x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 17 + -8 3x = 17 + -8 Combine like terms: 17 + -8 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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