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Simplifying 6(-4x + 7) = -174 Reorder the terms: 6(7 + -4x) = -174 (7 * 6 + -4x * 6) = -174 (42 + -24x) = -174 Solving 42 + -24x = -174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -24x = -174 + -42 Combine like terms: 42 + -42 = 0 0 + -24x = -174 + -42 -24x = -174 + -42 Combine like terms: -174 + -42 = -216 -24x = -216 Divide each side by '-24'. x = 9 Simplifying x = 9
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