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Simplifying 7(5x + 1) = 49(3x + 2) Reorder the terms: 7(1 + 5x) = 49(3x + 2) (1 * 7 + 5x * 7) = 49(3x + 2) (7 + 35x) = 49(3x + 2) Reorder the terms: 7 + 35x = 49(2 + 3x) 7 + 35x = (2 * 49 + 3x * 49) 7 + 35x = (98 + 147x) Solving 7 + 35x = 98 + 147x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-147x' to each side of the equation. 7 + 35x + -147x = 98 + 147x + -147x Combine like terms: 35x + -147x = -112x 7 + -112x = 98 + 147x + -147x Combine like terms: 147x + -147x = 0 7 + -112x = 98 + 0 7 + -112x = 98 Add '-7' to each side of the equation. 7 + -7 + -112x = 98 + -7 Combine like terms: 7 + -7 = 0 0 + -112x = 98 + -7 -112x = 98 + -7 Combine like terms: 98 + -7 = 91 -112x = 91 Divide each side by '-112'. x = -0.8125 Simplifying x = -0.8125
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