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Simplifying 34 = 8 + 8 + (x + -4) + (x + -4) Reorder the terms: 34 = 8 + 8 + (-4 + x) + (x + -4) Remove parenthesis around (-4 + x) 34 = 8 + 8 + -4 + x + (x + -4) Reorder the terms: 34 = 8 + 8 + -4 + x + (-4 + x) Remove parenthesis around (-4 + x) 34 = 8 + 8 + -4 + x + -4 + x Reorder the terms: 34 = 8 + 8 + -4 + -4 + x + x Combine like terms: 8 + 8 = 16 34 = 16 + -4 + -4 + x + x Combine like terms: 16 + -4 = 12 34 = 12 + -4 + x + x Combine like terms: 12 + -4 = 8 34 = 8 + x + x Combine like terms: x + x = 2x 34 = 8 + 2x Solving 34 = 8 + 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 = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -2x = 8 + 0 34 + -2x = 8 Add '-34' to each side of the equation. 34 + -34 + -2x = 8 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 8 + -34 -2x = 8 + -34 Combine like terms: 8 + -34 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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