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Simplifying 5(2x + 3) = 7(5x + 4) + 37 Reorder the terms: 5(3 + 2x) = 7(5x + 4) + 37 (3 * 5 + 2x * 5) = 7(5x + 4) + 37 (15 + 10x) = 7(5x + 4) + 37 Reorder the terms: 15 + 10x = 7(4 + 5x) + 37 15 + 10x = (4 * 7 + 5x * 7) + 37 15 + 10x = (28 + 35x) + 37 Reorder the terms: 15 + 10x = 28 + 37 + 35x Combine like terms: 28 + 37 = 65 15 + 10x = 65 + 35x Solving 15 + 10x = 65 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 15 + 10x + -35x = 65 + 35x + -35x Combine like terms: 10x + -35x = -25x 15 + -25x = 65 + 35x + -35x Combine like terms: 35x + -35x = 0 15 + -25x = 65 + 0 15 + -25x = 65 Add '-15' to each side of the equation. 15 + -15 + -25x = 65 + -15 Combine like terms: 15 + -15 = 0 0 + -25x = 65 + -15 -25x = 65 + -15 Combine like terms: 65 + -15 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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