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Simplifying -8(4x + 1) + 6x = 174 Reorder the terms: -8(1 + 4x) + 6x = 174 (1 * -8 + 4x * -8) + 6x = 174 (-8 + -32x) + 6x = 174 Combine like terms: -32x + 6x = -26x -8 + -26x = 174 Solving -8 + -26x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -26x = 174 + 8 Combine like terms: -8 + 8 = 0 0 + -26x = 174 + 8 -26x = 174 + 8 Combine like terms: 174 + 8 = 182 -26x = 182 Divide each side by '-26'. x = -7 Simplifying x = -7
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