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Simplifying x * 12 + -174 = x * 2 + -14 Reorder the terms for easier multiplication: 12x + -174 = x * 2 + -14 Reorder the terms: -174 + 12x = x * 2 + -14 Reorder the terms for easier multiplication: -174 + 12x = 2x + -14 Reorder the terms: -174 + 12x = -14 + 2x Solving -174 + 12x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -174 + 12x + -2x = -14 + 2x + -2x Combine like terms: 12x + -2x = 10x -174 + 10x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -174 + 10x = -14 + 0 -174 + 10x = -14 Add '174' to each side of the equation. -174 + 174 + 10x = -14 + 174 Combine like terms: -174 + 174 = 0 0 + 10x = -14 + 174 10x = -14 + 174 Combine like terms: -14 + 174 = 160 10x = 160 Divide each side by '10'. x = 16 Simplifying x = 16
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