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Simplifying 6x + 4(-6x + 5) = 182 Reorder the terms: 6x + 4(5 + -6x) = 182 6x + (5 * 4 + -6x * 4) = 182 6x + (20 + -24x) = 182 Reorder the terms: 20 + 6x + -24x = 182 Combine like terms: 6x + -24x = -18x 20 + -18x = 182 Solving 20 + -18x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -18x = 182 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = 182 + -20 -18x = 182 + -20 Combine like terms: 182 + -20 = 162 -18x = 162 Divide each side by '-18'. x = -9 Simplifying x = -9
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