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Simplifying 22 = 10 + 3(12 + 4x) 22 = 10 + (12 * 3 + 4x * 3) 22 = 10 + (36 + 12x) Combine like terms: 10 + 36 = 46 22 = 46 + 12x Solving 22 = 46 + 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. 22 + -12x = 46 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -12x = 46 + 0 22 + -12x = 46 Add '-22' to each side of the equation. 22 + -22 + -12x = 46 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = 46 + -22 -12x = 46 + -22 Combine like terms: 46 + -22 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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