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Simplifying 3(x + 10) + 6 = (x + 12) Reorder the terms: 3(10 + x) + 6 = (x + 12) (10 * 3 + x * 3) + 6 = (x + 12) (30 + 3x) + 6 = (x + 12) Reorder the terms: 30 + 6 + 3x = (x + 12) Combine like terms: 30 + 6 = 36 36 + 3x = (x + 12) Reorder the terms: 36 + 3x = (12 + x) Remove parenthesis around (12 + x) 36 + 3x = 12 + x Solving 36 + 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. 36 + 3x + -1x = 12 + x + -1x Combine like terms: 3x + -1x = 2x 36 + 2x = 12 + x + -1x Combine like terms: x + -1x = 0 36 + 2x = 12 + 0 36 + 2x = 12 Add '-36' to each side of the equation. 36 + -36 + 2x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 12 + -36 2x = 12 + -36 Combine like terms: 12 + -36 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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