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Simplifying 7[8 + -1(-3x + -6)] = 147x + 350 Reorder the terms: 7[8 + -1(-6 + -3x)] = 147x + 350 7[8 + (-6 * -1 + -3x * -1)] = 147x + 350 7[8 + (6 + 3x)] = 147x + 350 Combine like terms: 8 + 6 = 14 7[14 + 3x] = 147x + 350 [14 * 7 + 3x * 7] = 147x + 350 [98 + 21x] = 147x + 350 Reorder the terms: 98 + 21x = 350 + 147x Solving 98 + 21x = 350 + 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. 98 + 21x + -147x = 350 + 147x + -147x Combine like terms: 21x + -147x = -126x 98 + -126x = 350 + 147x + -147x Combine like terms: 147x + -147x = 0 98 + -126x = 350 + 0 98 + -126x = 350 Add '-98' to each side of the equation. 98 + -98 + -126x = 350 + -98 Combine like terms: 98 + -98 = 0 0 + -126x = 350 + -98 -126x = 350 + -98 Combine like terms: 350 + -98 = 252 -126x = 252 Divide each side by '-126'. x = -2 Simplifying x = -2
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