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Simplifying 7x + 10 + 3(4 + -9x) = 182 7x + 10 + (4 * 3 + -9x * 3) = 182 7x + 10 + (12 + -27x) = 182 Reorder the terms: 10 + 12 + 7x + -27x = 182 Combine like terms: 10 + 12 = 22 22 + 7x + -27x = 182 Combine like terms: 7x + -27x = -20x 22 + -20x = 182 Solving 22 + -20x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -20x = 182 + -22 Combine like terms: 22 + -22 = 0 0 + -20x = 182 + -22 -20x = 182 + -22 Combine like terms: 182 + -22 = 160 -20x = 160 Divide each side by '-20'. x = -8 Simplifying x = -8
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