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Simplifying -6x + 6(-3x + 9) = 174 Reorder the terms: -6x + 6(9 + -3x) = 174 -6x + (9 * 6 + -3x * 6) = 174 -6x + (54 + -18x) = 174 Reorder the terms: 54 + -6x + -18x = 174 Combine like terms: -6x + -18x = -24x 54 + -24x = 174 Solving 54 + -24x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -24x = 174 + -54 Combine like terms: 54 + -54 = 0 0 + -24x = 174 + -54 -24x = 174 + -54 Combine like terms: 174 + -54 = 120 -24x = 120 Divide each side by '-24'. x = -5 Simplifying x = -5
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