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Simplifying 0.3(x + 30) + 0.9x = 45 Reorder the terms: 0.3(30 + x) + 0.9x = 45 (30 * 0.3 + x * 0.3) + 0.9x = 45 (9 + 0.3x) + 0.9x = 45 Combine like terms: 0.3x + 0.9x = 1.2x 9 + 1.2x = 45 Solving 9 + 1.2x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1.2x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 1.2x = 45 + -9 1.2x = 45 + -9 Combine like terms: 45 + -9 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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