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Simplifying 35 = x + (2x + -1) + (2 + 14x) Reorder the terms: 35 = x + (-1 + 2x) + (2 + 14x) Remove parenthesis around (-1 + 2x) 35 = x + -1 + 2x + (2 + 14x) Remove parenthesis around (2 + 14x) 35 = x + -1 + 2x + 2 + 14x Reorder the terms: 35 = -1 + 2 + x + 2x + 14x Combine like terms: -1 + 2 = 1 35 = 1 + x + 2x + 14x Combine like terms: x + 2x = 3x 35 = 1 + 3x + 14x Combine like terms: 3x + 14x = 17x 35 = 1 + 17x Solving 35 = 1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 35 + -17x = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 35 + -17x = 1 + 0 35 + -17x = 1 Add '-35' to each side of the equation. 35 + -35 + -17x = 1 + -35 Combine like terms: 35 + -35 = 0 0 + -17x = 1 + -35 -17x = 1 + -35 Combine like terms: 1 + -35 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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