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Simplifying 12x + 174 = 2x + 88 + 36 Reorder the terms: 174 + 12x = 2x + 88 + 36 Reorder the terms: 174 + 12x = 88 + 36 + 2x Combine like terms: 88 + 36 = 124 174 + 12x = 124 + 2x Solving 174 + 12x = 124 + 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 = 124 + 2x + -2x Combine like terms: 12x + -2x = 10x 174 + 10x = 124 + 2x + -2x Combine like terms: 2x + -2x = 0 174 + 10x = 124 + 0 174 + 10x = 124 Add '-174' to each side of the equation. 174 + -174 + 10x = 124 + -174 Combine like terms: 174 + -174 = 0 0 + 10x = 124 + -174 10x = 124 + -174 Combine like terms: 124 + -174 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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