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Simplifying -174 = 2x + 3(-7x + 18) Reorder the terms: -174 = 2x + 3(18 + -7x) -174 = 2x + (18 * 3 + -7x * 3) -174 = 2x + (54 + -21x) Reorder the terms: -174 = 54 + 2x + -21x Combine like terms: 2x + -21x = -19x -174 = 54 + -19x Solving -174 = 54 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -174 + 19x = 54 + -19x + 19x Combine like terms: -19x + 19x = 0 -174 + 19x = 54 + 0 -174 + 19x = 54 Add '174' to each side of the equation. -174 + 174 + 19x = 54 + 174 Combine like terms: -174 + 174 = 0 0 + 19x = 54 + 174 19x = 54 + 174 Combine like terms: 54 + 174 = 228 19x = 228 Divide each side by '19'. x = 12 Simplifying x = 12
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