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Simplifying 174 = -7(5x + 6) + 6 Reorder the terms: 174 = -7(6 + 5x) + 6 174 = (6 * -7 + 5x * -7) + 6 174 = (-42 + -35x) + 6 Reorder the terms: 174 = -42 + 6 + -35x Combine like terms: -42 + 6 = -36 174 = -36 + -35x Solving 174 = -36 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 174 + 35x = -36 + -35x + 35x Combine like terms: -35x + 35x = 0 174 + 35x = -36 + 0 174 + 35x = -36 Add '-174' to each side of the equation. 174 + -174 + 35x = -36 + -174 Combine like terms: 174 + -174 = 0 0 + 35x = -36 + -174 35x = -36 + -174 Combine like terms: -36 + -174 = -210 35x = -210 Divide each side by '35'. x = -6 Simplifying x = -6
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