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Simplifying 3(3 + 2x) = 7(-2 + -2x) + 183 (3 * 3 + 2x * 3) = 7(-2 + -2x) + 183 (9 + 6x) = 7(-2 + -2x) + 183 9 + 6x = (-2 * 7 + -2x * 7) + 183 9 + 6x = (-14 + -14x) + 183 Reorder the terms: 9 + 6x = -14 + 183 + -14x Combine like terms: -14 + 183 = 169 9 + 6x = 169 + -14x Solving 9 + 6x = 169 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 9 + 6x + 14x = 169 + -14x + 14x Combine like terms: 6x + 14x = 20x 9 + 20x = 169 + -14x + 14x Combine like terms: -14x + 14x = 0 9 + 20x = 169 + 0 9 + 20x = 169 Add '-9' to each side of the equation. 9 + -9 + 20x = 169 + -9 Combine like terms: 9 + -9 = 0 0 + 20x = 169 + -9 20x = 169 + -9 Combine like terms: 169 + -9 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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