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Simplifying 22 + 2x = 5(6 + -2x) + 16 22 + 2x = (6 * 5 + -2x * 5) + 16 22 + 2x = (30 + -10x) + 16 Reorder the terms: 22 + 2x = 30 + 16 + -10x Combine like terms: 30 + 16 = 46 22 + 2x = 46 + -10x Solving 22 + 2x = 46 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 22 + 2x + 10x = 46 + -10x + 10x Combine like terms: 2x + 10x = 12x 22 + 12x = 46 + -10x + 10x Combine like terms: -10x + 10x = 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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