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Simplifying 7[3 + -1(-3x + -3)] = 147x + 168 Reorder the terms: 7[3 + -1(-3 + -3x)] = 147x + 168 7[3 + (-3 * -1 + -3x * -1)] = 147x + 168 7[3 + (3 + 3x)] = 147x + 168 Combine like terms: 3 + 3 = 6 7[6 + 3x] = 147x + 168 [6 * 7 + 3x * 7] = 147x + 168 [42 + 21x] = 147x + 168 Reorder the terms: 42 + 21x = 168 + 147x Solving 42 + 21x = 168 + 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. 42 + 21x + -147x = 168 + 147x + -147x Combine like terms: 21x + -147x = -126x 42 + -126x = 168 + 147x + -147x Combine like terms: 147x + -147x = 0 42 + -126x = 168 + 0 42 + -126x = 168 Add '-42' to each side of the equation. 42 + -42 + -126x = 168 + -42 Combine like terms: 42 + -42 = 0 0 + -126x = 168 + -42 -126x = 168 + -42 Combine like terms: 168 + -42 = 126 -126x = 126 Divide each side by '-126'. x = -1 Simplifying x = -1
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