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Simplifying 9(4x + 5) + -7(5x + 3) = 25 Reorder the terms: 9(5 + 4x) + -7(5x + 3) = 25 (5 * 9 + 4x * 9) + -7(5x + 3) = 25 (45 + 36x) + -7(5x + 3) = 25 Reorder the terms: 45 + 36x + -7(3 + 5x) = 25 45 + 36x + (3 * -7 + 5x * -7) = 25 45 + 36x + (-21 + -35x) = 25 Reorder the terms: 45 + -21 + 36x + -35x = 25 Combine like terms: 45 + -21 = 24 24 + 36x + -35x = 25 Combine like terms: 36x + -35x = 1x 24 + 1x = 25 Solving 24 + 1x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 25 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 25 + -24 1x = 25 + -24 Combine like terms: 25 + -24 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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