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Simplifying -6x + 6(4x + 7) = -174 Reorder the terms: -6x + 6(7 + 4x) = -174 -6x + (7 * 6 + 4x * 6) = -174 -6x + (42 + 24x) = -174 Reorder the terms: 42 + -6x + 24x = -174 Combine like terms: -6x + 24x = 18x 42 + 18x = -174 Solving 42 + 18x = -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 + 18x = -174 + -42 Combine like terms: 42 + -42 = 0 0 + 18x = -174 + -42 18x = -174 + -42 Combine like terms: -174 + -42 = -216 18x = -216 Divide each side by '18'. x = -12 Simplifying x = -12
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