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Simplifying 28 + -14x + 7 = 47 + -20x Reorder the terms: 28 + 7 + -14x = 47 + -20x Combine like terms: 28 + 7 = 35 35 + -14x = 47 + -20x Solving 35 + -14x = 47 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 35 + -14x + 20x = 47 + -20x + 20x Combine like terms: -14x + 20x = 6x 35 + 6x = 47 + -20x + 20x Combine like terms: -20x + 20x = 0 35 + 6x = 47 + 0 35 + 6x = 47 Add '-35' to each side of the equation. 35 + -35 + 6x = 47 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 47 + -35 6x = 47 + -35 Combine like terms: 47 + -35 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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