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Simplifying 174 = -6x + -7(5x + 22) Reorder the terms: 174 = -6x + -7(22 + 5x) 174 = -6x + (22 * -7 + 5x * -7) 174 = -6x + (-154 + -35x) Reorder the terms: 174 = -154 + -6x + -35x Combine like terms: -6x + -35x = -41x 174 = -154 + -41x Solving 174 = -154 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. 174 + 41x = -154 + -41x + 41x Combine like terms: -41x + 41x = 0 174 + 41x = -154 + 0 174 + 41x = -154 Add '-174' to each side of the equation. 174 + -174 + 41x = -154 + -174 Combine like terms: 174 + -174 = 0 0 + 41x = -154 + -174 41x = -154 + -174 Combine like terms: -154 + -174 = -328 41x = -328 Divide each side by '41'. x = -8 Simplifying x = -8
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