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Simplifying 3x + 1 + -1x + 4 = 2x + -8 + 10 + 3x Reorder the terms: 1 + 4 + 3x + -1x = 2x + -8 + 10 + 3x Combine like terms: 1 + 4 = 5 5 + 3x + -1x = 2x + -8 + 10 + 3x Combine like terms: 3x + -1x = 2x 5 + 2x = 2x + -8 + 10 + 3x Reorder the terms: 5 + 2x = -8 + 10 + 2x + 3x Combine like terms: -8 + 10 = 2 5 + 2x = 2 + 2x + 3x Combine like terms: 2x + 3x = 5x 5 + 2x = 2 + 5x Solving 5 + 2x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 2x + -5x = 2 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = 2 + 0 5 + -3x = 2 Add '-5' to each side of the equation. 5 + -5 + -3x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 2 + -5 -3x = 2 + -5 Combine like terms: 2 + -5 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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