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Simplifying 7(4x + 8) + 5(5x + 9) = 35 Reorder the terms: 7(8 + 4x) + 5(5x + 9) = 35 (8 * 7 + 4x * 7) + 5(5x + 9) = 35 (56 + 28x) + 5(5x + 9) = 35 Reorder the terms: 56 + 28x + 5(9 + 5x) = 35 56 + 28x + (9 * 5 + 5x * 5) = 35 56 + 28x + (45 + 25x) = 35 Reorder the terms: 56 + 45 + 28x + 25x = 35 Combine like terms: 56 + 45 = 101 101 + 28x + 25x = 35 Combine like terms: 28x + 25x = 53x 101 + 53x = 35 Solving 101 + 53x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + 53x = 35 + -101 Combine like terms: 101 + -101 = 0 0 + 53x = 35 + -101 53x = 35 + -101 Combine like terms: 35 + -101 = -66 53x = -66 Divide each side by '53'. x = -1.245283019 Simplifying x = -1.245283019
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