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Simplifying 51 = (2 + 7x) + (20x + 1) Remove parenthesis around (2 + 7x) 51 = 2 + 7x + (20x + 1) Reorder the terms: 51 = 2 + 7x + (1 + 20x) Remove parenthesis around (1 + 20x) 51 = 2 + 7x + 1 + 20x Reorder the terms: 51 = 2 + 1 + 7x + 20x Combine like terms: 2 + 1 = 3 51 = 3 + 7x + 20x Combine like terms: 7x + 20x = 27x 51 = 3 + 27x Solving 51 = 3 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 51 + -27x = 3 + 27x + -27x Combine like terms: 27x + -27x = 0 51 + -27x = 3 + 0 51 + -27x = 3 Add '-51' to each side of the equation. 51 + -51 + -27x = 3 + -51 Combine like terms: 51 + -51 = 0 0 + -27x = 3 + -51 -27x = 3 + -51 Combine like terms: 3 + -51 = -48 -27x = -48 Divide each side by '-27'. x = 1.777777778 Simplifying x = 1.777777778
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