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Simplifying 34 = 2x + (4 + 0.5x) Remove parenthesis around (4 + 0.5x) 34 = 2x + 4 + 0.5x Reorder the terms: 34 = 4 + 2x + 0.5x Combine like terms: 2x + 0.5x = 2.5x 34 = 4 + 2.5x Solving 34 = 4 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 34 + -2.5x = 4 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 34 + -2.5x = 4 + 0.0 34 + -2.5x = 4 Add '-34' to each side of the equation. 34 + -34 + -2.5x = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -2.5x = 4 + -34 -2.5x = 4 + -34 Combine like terms: 4 + -34 = -30 -2.5x = -30 Divide each side by '-2.5'. x = 12 Simplifying x = 12
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