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Simplifying 3(2x + 5) + 2(3x + -7) = 25 Reorder the terms: 3(5 + 2x) + 2(3x + -7) = 25 (5 * 3 + 2x * 3) + 2(3x + -7) = 25 (15 + 6x) + 2(3x + -7) = 25 Reorder the terms: 15 + 6x + 2(-7 + 3x) = 25 15 + 6x + (-7 * 2 + 3x * 2) = 25 15 + 6x + (-14 + 6x) = 25 Reorder the terms: 15 + -14 + 6x + 6x = 25 Combine like terms: 15 + -14 = 1 1 + 6x + 6x = 25 Combine like terms: 6x + 6x = 12x 1 + 12x = 25 Solving 1 + 12x = 25 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 + 12x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 25 + -1 12x = 25 + -1 Combine like terms: 25 + -1 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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