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Simplifying -5(6x + 7) + -1 = 174 Reorder the terms: -5(7 + 6x) + -1 = 174 (7 * -5 + 6x * -5) + -1 = 174 (-35 + -30x) + -1 = 174 Reorder the terms: -35 + -1 + -30x = 174 Combine like terms: -35 + -1 = -36 -36 + -30x = 174 Solving -36 + -30x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -30x = 174 + 36 Combine like terms: -36 + 36 = 0 0 + -30x = 174 + 36 -30x = 174 + 36 Combine like terms: 174 + 36 = 210 -30x = 210 Divide each side by '-30'. x = -7 Simplifying x = -7
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