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Simplifying 3x + 8 = 10 + x + 2 Reorder the terms: 8 + 3x = 10 + x + 2 Reorder the terms: 8 + 3x = 10 + 2 + x Combine like terms: 10 + 2 = 12 8 + 3x = 12 + x Solving 8 + 3x = 12 + 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. 8 + 3x + -1x = 12 + x + -1x Combine like terms: 3x + -1x = 2x 8 + 2x = 12 + x + -1x Combine like terms: x + -1x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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