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Simplifying 0.6(x + 30) + 0.2x = 34 Reorder the terms: 0.6(30 + x) + 0.2x = 34 (30 * 0.6 + x * 0.6) + 0.2x = 34 (18 + 0.6x) + 0.2x = 34 Combine like terms: 0.6x + 0.2x = 0.8x 18 + 0.8x = 34 Solving 18 + 0.8x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 0.8x = 34 + -18 Combine like terms: 18 + -18 = 0 0 + 0.8x = 34 + -18 0.8x = 34 + -18 Combine like terms: 34 + -18 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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