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Simplifying -174 = 3x + -3(-6 + 9) Combine like terms: -6 + 9 = 3 -174 = 3x + -3(3) Multiply -3 * 3 -174 = 3x + -9 Reorder the terms: -174 = -9 + 3x Solving -174 = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -174 + -3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -174 + -3x = -9 + 0 -174 + -3x = -9 Add '174' to each side of the equation. -174 + 174 + -3x = -9 + 174 Combine like terms: -174 + 174 = 0 0 + -3x = -9 + 174 -3x = -9 + 174 Combine like terms: -9 + 174 = 165 -3x = 165 Divide each side by '-3'. x = -55 Simplifying x = -55
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