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Simplifying 12x + -6x + 174 = 12x + 90 Reorder the terms: 174 + 12x + -6x = 12x + 90 Combine like terms: 12x + -6x = 6x 174 + 6x = 12x + 90 Reorder the terms: 174 + 6x = 90 + 12x Solving 174 + 6x = 90 + 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 + 6x + -12x = 90 + 12x + -12x Combine like terms: 6x + -12x = -6x 174 + -6x = 90 + 12x + -12x Combine like terms: 12x + -12x = 0 174 + -6x = 90 + 0 174 + -6x = 90 Add '-174' to each side of the equation. 174 + -174 + -6x = 90 + -174 Combine like terms: 174 + -174 = 0 0 + -6x = 90 + -174 -6x = 90 + -174 Combine like terms: 90 + -174 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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