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Simplifying 3(4x + 5) + -5(2x + -3) = 37 Reorder the terms: 3(5 + 4x) + -5(2x + -3) = 37 (5 * 3 + 4x * 3) + -5(2x + -3) = 37 (15 + 12x) + -5(2x + -3) = 37 Reorder the terms: 15 + 12x + -5(-3 + 2x) = 37 15 + 12x + (-3 * -5 + 2x * -5) = 37 15 + 12x + (15 + -10x) = 37 Reorder the terms: 15 + 15 + 12x + -10x = 37 Combine like terms: 15 + 15 = 30 30 + 12x + -10x = 37 Combine like terms: 12x + -10x = 2x 30 + 2x = 37 Solving 30 + 2x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 37 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 37 + -30 2x = 37 + -30 Combine like terms: 37 + -30 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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