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Simplifying 3(1 + 4x) + -2(5x + -3) = 25 (1 * 3 + 4x * 3) + -2(5x + -3) = 25 (3 + 12x) + -2(5x + -3) = 25 Reorder the terms: 3 + 12x + -2(-3 + 5x) = 25 3 + 12x + (-3 * -2 + 5x * -2) = 25 3 + 12x + (6 + -10x) = 25 Reorder the terms: 3 + 6 + 12x + -10x = 25 Combine like terms: 3 + 6 = 9 9 + 12x + -10x = 25 Combine like terms: 12x + -10x = 2x 9 + 2x = 25 Solving 9 + 2x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 25 + -9 2x = 25 + -9 Combine like terms: 25 + -9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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