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Simplifying -174 = 3x + 3(3x + -14) Reorder the terms: -174 = 3x + 3(-14 + 3x) -174 = 3x + (-14 * 3 + 3x * 3) -174 = 3x + (-42 + 9x) Reorder the terms: -174 = -42 + 3x + 9x Combine like terms: 3x + 9x = 12x -174 = -42 + 12x Solving -174 = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -174 + -12x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -174 + -12x = -42 + 0 -174 + -12x = -42 Add '174' to each side of the equation. -174 + 174 + -12x = -42 + 174 Combine like terms: -174 + 174 = 0 0 + -12x = -42 + 174 -12x = -42 + 174 Combine like terms: -42 + 174 = 132 -12x = 132 Divide each side by '-12'. x = -11 Simplifying x = -11
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