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Simplifying 3x + 6 + -1x = 10 + x + 2 Reorder the terms: 6 + 3x + -1x = 10 + x + 2 Combine like terms: 3x + -1x = 2x 6 + 2x = 10 + x + 2 Reorder the terms: 6 + 2x = 10 + 2 + x Combine like terms: 10 + 2 = 12 6 + 2x = 12 + x Solving 6 + 2x = 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. 6 + 2x + -1x = 12 + x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 12 + x + -1x Combine like terms: x + -1x = 0 6 + 1x = 12 + 0 6 + 1x = 12 Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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