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Simplifying 0.6(x + 10) + 0.2x = 22 Reorder the terms: 0.6(10 + x) + 0.2x = 22 (10 * 0.6 + x * 0.6) + 0.2x = 22 (6 + 0.6x) + 0.2x = 22 Combine like terms: 0.6x + 0.2x = 0.8x 6 + 0.8x = 22 Solving 6 + 0.8x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.8x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 0.8x = 22 + -6 0.8x = 22 + -6 Combine like terms: 22 + -6 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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