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Simplifying (3x + 12) = (2x + 27) Reorder the terms: (12 + 3x) = (2x + 27) Remove parenthesis around (12 + 3x) 12 + 3x = (2x + 27) Reorder the terms: 12 + 3x = (27 + 2x) Remove parenthesis around (27 + 2x) 12 + 3x = 27 + 2x Solving 12 + 3x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 3x + -2x = 27 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 27 + 0 12 + 1x = 27 Add '-12' to each side of the equation. 12 + -12 + 1x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 27 + -12 1x = 27 + -12 Combine like terms: 27 + -12 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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