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Simplifying 0.2(x + 30) + 0.2x = 10 Reorder the terms: 0.2(30 + x) + 0.2x = 10 (30 * 0.2 + x * 0.2) + 0.2x = 10 (6 + 0.2x) + 0.2x = 10 Combine like terms: 0.2x + 0.2x = 0.4x 6 + 0.4x = 10 Solving 6 + 0.4x = 10 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 + 0.4x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4x = 10 + -6 0.4x = 10 + -6 Combine like terms: 10 + -6 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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