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Simplifying 3x + 1 + -1x = 10 + x + -8 Reorder the terms: 1 + 3x + -1x = 10 + x + -8 Combine like terms: 3x + -1x = 2x 1 + 2x = 10 + x + -8 Reorder the terms: 1 + 2x = 10 + -8 + x Combine like terms: 10 + -8 = 2 1 + 2x = 2 + x Solving 1 + 2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 2x + -1x = 2 + x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 2 + x + -1x Combine like terms: x + -1x = 0 1 + 1x = 2 + 0 1 + 1x = 2 Add '-1' to each side of the equation. 1 + -1 + 1x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 2 + -1 1x = 2 + -1 Combine like terms: 2 + -1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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