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Simplifying 3(2x + 1) + -2(x + -1) = 25 Reorder the terms: 3(1 + 2x) + -2(x + -1) = 25 (1 * 3 + 2x * 3) + -2(x + -1) = 25 (3 + 6x) + -2(x + -1) = 25 Reorder the terms: 3 + 6x + -2(-1 + x) = 25 3 + 6x + (-1 * -2 + x * -2) = 25 3 + 6x + (2 + -2x) = 25 Reorder the terms: 3 + 2 + 6x + -2x = 25 Combine like terms: 3 + 2 = 5 5 + 6x + -2x = 25 Combine like terms: 6x + -2x = 4x 5 + 4x = 25 Solving 5 + 4x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 25 + -5 4x = 25 + -5 Combine like terms: 25 + -5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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