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Simplifying (3x + 1) + -1(2x + -2) = 9 Reorder the terms: (1 + 3x) + -1(2x + -2) = 9 Remove parenthesis around (1 + 3x) 1 + 3x + -1(2x + -2) = 9 Reorder the terms: 1 + 3x + -1(-2 + 2x) = 9 1 + 3x + (-2 * -1 + 2x * -1) = 9 1 + 3x + (2 + -2x) = 9 Reorder the terms: 1 + 2 + 3x + -2x = 9 Combine like terms: 1 + 2 = 3 3 + 3x + -2x = 9 Combine like terms: 3x + -2x = 1x 3 + 1x = 9 Solving 3 + 1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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