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Simplifying 34 = (2x + -3) + (4 + x) Reorder the terms: 34 = (-3 + 2x) + (4 + x) Remove parenthesis around (-3 + 2x) 34 = -3 + 2x + (4 + x) Remove parenthesis around (4 + x) 34 = -3 + 2x + 4 + x Reorder the terms: 34 = -3 + 4 + 2x + x Combine like terms: -3 + 4 = 1 34 = 1 + 2x + x Combine like terms: 2x + x = 3x 34 = 1 + 3x Solving 34 = 1 + 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. 34 + -3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -3x = 1 + 0 34 + -3x = 1 Add '-34' to each side of the equation. 34 + -34 + -3x = 1 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = 1 + -34 -3x = 1 + -34 Combine like terms: 1 + -34 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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