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Simplifying 7[4 + -1(-7x + -1)] = 147x + 49 Reorder the terms: 7[4 + -1(-1 + -7x)] = 147x + 49 7[4 + (-1 * -1 + -7x * -1)] = 147x + 49 7[4 + (1 + 7x)] = 147x + 49 Combine like terms: 4 + 1 = 5 7[5 + 7x] = 147x + 49 [5 * 7 + 7x * 7] = 147x + 49 [35 + 49x] = 147x + 49 Reorder the terms: 35 + 49x = 49 + 147x Solving 35 + 49x = 49 + 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. 35 + 49x + -147x = 49 + 147x + -147x Combine like terms: 49x + -147x = -98x 35 + -98x = 49 + 147x + -147x Combine like terms: 147x + -147x = 0 35 + -98x = 49 + 0 35 + -98x = 49 Add '-35' to each side of the equation. 35 + -35 + -98x = 49 + -35 Combine like terms: 35 + -35 = 0 0 + -98x = 49 + -35 -98x = 49 + -35 Combine like terms: 49 + -35 = 14 -98x = 14 Divide each side by '-98'. x = -0.1428571429 Simplifying x = -0.1428571429
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