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Simplifying 3x + (x + 9) = 34 + -2x Reorder the terms: 3x + (9 + x) = 34 + -2x Remove parenthesis around (9 + x) 3x + 9 + x = 34 + -2x Reorder the terms: 9 + 3x + x = 34 + -2x Combine like terms: 3x + x = 4x 9 + 4x = 34 + -2x Solving 9 + 4x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 4x + 2x = 34 + -2x + 2x Combine like terms: 4x + 2x = 6x 9 + 6x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 6x = 34 + 0 9 + 6x = 34 Add '-9' to each side of the equation. 9 + -9 + 6x = 34 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 34 + -9 6x = 34 + -9 Combine like terms: 34 + -9 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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