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Simplifying 174 = -6x + 2(-5x + 7) Reorder the terms: 174 = -6x + 2(7 + -5x) 174 = -6x + (7 * 2 + -5x * 2) 174 = -6x + (14 + -10x) Reorder the terms: 174 = 14 + -6x + -10x Combine like terms: -6x + -10x = -16x 174 = 14 + -16x Solving 174 = 14 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 174 + 16x = 14 + -16x + 16x Combine like terms: -16x + 16x = 0 174 + 16x = 14 + 0 174 + 16x = 14 Add '-174' to each side of the equation. 174 + -174 + 16x = 14 + -174 Combine like terms: 174 + -174 = 0 0 + 16x = 14 + -174 16x = 14 + -174 Combine like terms: 14 + -174 = -160 16x = -160 Divide each side by '16'. x = -10 Simplifying x = -10
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