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Simplifying 0.3(x + 20) + 0.9x = 42 Reorder the terms: 0.3(20 + x) + 0.9x = 42 (20 * 0.3 + x * 0.3) + 0.9x = 42 (6 + 0.3x) + 0.9x = 42 Combine like terms: 0.3x + 0.9x = 1.2x 6 + 1.2x = 42 Solving 6 + 1.2x = 42 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 + 1.2x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 1.2x = 42 + -6 1.2x = 42 + -6 Combine like terms: 42 + -6 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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