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Simplifying 34 = (x + 3) + (x + -5) Reorder the terms: 34 = (3 + x) + (x + -5) Remove parenthesis around (3 + x) 34 = 3 + x + (x + -5) Reorder the terms: 34 = 3 + x + (-5 + x) Remove parenthesis around (-5 + x) 34 = 3 + x + -5 + x Reorder the terms: 34 = 3 + -5 + x + x Combine like terms: 3 + -5 = -2 34 = -2 + x + x Combine like terms: x + x = 2x 34 = -2 + 2x Solving 34 = -2 + 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. 34 + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -2x = -2 + 0 34 + -2x = -2 Add '-34' to each side of the equation. 34 + -34 + -2x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = -2 + -34 -2x = -2 + -34 Combine like terms: -2 + -34 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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