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Simplifying (3x + 7) + -1(3 + 2x) = 12 Reorder the terms: (7 + 3x) + -1(3 + 2x) = 12 Remove parenthesis around (7 + 3x) 7 + 3x + -1(3 + 2x) = 12 7 + 3x + (3 * -1 + 2x * -1) = 12 7 + 3x + (-3 + -2x) = 12 Reorder the terms: 7 + -3 + 3x + -2x = 12 Combine like terms: 7 + -3 = 4 4 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x 4 + 1x = 12 Solving 4 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 12 + -4 1x = 12 + -4 Combine like terms: 12 + -4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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