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Simplifying 2x + (3x + -1) = 18 + (3x + -1) Reorder the terms: 2x + (-1 + 3x) = 18 + (3x + -1) Remove parenthesis around (-1 + 3x) 2x + -1 + 3x = 18 + (3x + -1) Reorder the terms: -1 + 2x + 3x = 18 + (3x + -1) Combine like terms: 2x + 3x = 5x -1 + 5x = 18 + (3x + -1) Reorder the terms: -1 + 5x = 18 + (-1 + 3x) Remove parenthesis around (-1 + 3x) -1 + 5x = 18 + -1 + 3x Combine like terms: 18 + -1 = 17 -1 + 5x = 17 + 3x Solving -1 + 5x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 2x = 17 + 0 -1 + 2x = 17 Add '1' to each side of the equation. -1 + 1 + 2x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 17 + 1 2x = 17 + 1 Combine like terms: 17 + 1 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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