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Simplifying 5(2x + 3) + 4(3x + -5) = 237 Reorder the terms: 5(3 + 2x) + 4(3x + -5) = 237 (3 * 5 + 2x * 5) + 4(3x + -5) = 237 (15 + 10x) + 4(3x + -5) = 237 Reorder the terms: 15 + 10x + 4(-5 + 3x) = 237 15 + 10x + (-5 * 4 + 3x * 4) = 237 15 + 10x + (-20 + 12x) = 237 Reorder the terms: 15 + -20 + 10x + 12x = 237 Combine like terms: 15 + -20 = -5 -5 + 10x + 12x = 237 Combine like terms: 10x + 12x = 22x -5 + 22x = 237 Solving -5 + 22x = 237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 22x = 237 + 5 Combine like terms: -5 + 5 = 0 0 + 22x = 237 + 5 22x = 237 + 5 Combine like terms: 237 + 5 = 242 22x = 242 Divide each side by '22'. x = 11 Simplifying x = 11
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