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Simplifying 3x + 12 + 2 = x + 10 Reorder the terms: 12 + 2 + 3x = x + 10 Combine like terms: 12 + 2 = 14 14 + 3x = x + 10 Reorder the terms: 14 + 3x = 10 + x Solving 14 + 3x = 10 + 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. 14 + 3x + -1x = 10 + x + -1x Combine like terms: 3x + -1x = 2x 14 + 2x = 10 + x + -1x Combine like terms: x + -1x = 0 14 + 2x = 10 + 0 14 + 2x = 10 Add '-14' to each side of the equation. 14 + -14 + 2x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 10 + -14 2x = 10 + -14 Combine like terms: 10 + -14 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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