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Simplifying 7(9x + 4) + -5(2x + 4) = 252 Reorder the terms: 7(4 + 9x) + -5(2x + 4) = 252 (4 * 7 + 9x * 7) + -5(2x + 4) = 252 (28 + 63x) + -5(2x + 4) = 252 Reorder the terms: 28 + 63x + -5(4 + 2x) = 252 28 + 63x + (4 * -5 + 2x * -5) = 252 28 + 63x + (-20 + -10x) = 252 Reorder the terms: 28 + -20 + 63x + -10x = 252 Combine like terms: 28 + -20 = 8 8 + 63x + -10x = 252 Combine like terms: 63x + -10x = 53x 8 + 53x = 252 Solving 8 + 53x = 252 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 53x = 252 + -8 Combine like terms: 8 + -8 = 0 0 + 53x = 252 + -8 53x = 252 + -8 Combine like terms: 252 + -8 = 244 53x = 244 Divide each side by '53'. x = 4.603773585 Simplifying x = 4.603773585
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