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Simplifying 0.3(x + 30) + 1.5x = 90 Reorder the terms: 0.3(30 + x) + 1.5x = 90 (30 * 0.3 + x * 0.3) + 1.5x = 90 (9 + 0.3x) + 1.5x = 90 Combine like terms: 0.3x + 1.5x = 1.8x 9 + 1.8x = 90 Solving 9 + 1.8x = 90 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 + 1.8x = 90 + -9 Combine like terms: 9 + -9 = 0 0 + 1.8x = 90 + -9 1.8x = 90 + -9 Combine like terms: 90 + -9 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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