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Simplifying 7[1 + -1(7x + -6)] = 147x + 133 Reorder the terms: 7[1 + -1(-6 + 7x)] = 147x + 133 7[1 + (-6 * -1 + 7x * -1)] = 147x + 133 7[1 + (6 + -7x)] = 147x + 133 Combine like terms: 1 + 6 = 7 7[7 + -7x] = 147x + 133 [7 * 7 + -7x * 7] = 147x + 133 [49 + -49x] = 147x + 133 Reorder the terms: 49 + -49x = 133 + 147x Solving 49 + -49x = 133 + 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. 49 + -49x + -147x = 133 + 147x + -147x Combine like terms: -49x + -147x = -196x 49 + -196x = 133 + 147x + -147x Combine like terms: 147x + -147x = 0 49 + -196x = 133 + 0 49 + -196x = 133 Add '-49' to each side of the equation. 49 + -49 + -196x = 133 + -49 Combine like terms: 49 + -49 = 0 0 + -196x = 133 + -49 -196x = 133 + -49 Combine like terms: 133 + -49 = 84 -196x = 84 Divide each side by '-196'. x = -0.4285714286 Simplifying x = -0.4285714286
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