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Simplifying 3(2x + 1) + -2(3 + -2) = 13 Reorder the terms: 3(1 + 2x) + -2(3 + -2) = 13 (1 * 3 + 2x * 3) + -2(3 + -2) = 13 (3 + 6x) + -2(3 + -2) = 13 Combine like terms: 3 + -2 = 1 3 + 6x + -2(1) = 13 Multiply -2 * 1 3 + 6x + -2 = 13 Reorder the terms: 3 + -2 + 6x = 13 Combine like terms: 3 + -2 = 1 1 + 6x = 13 Solving 1 + 6x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 13 + -1 6x = 13 + -1 Combine like terms: 13 + -1 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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