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Simplifying 0.9(x + 80) + 0.3x = 108 Reorder the terms: 0.9(80 + x) + 0.3x = 108 (80 * 0.9 + x * 0.9) + 0.3x = 108 (72 + 0.9x) + 0.3x = 108 Combine like terms: 0.9x + 0.3x = 1.2x 72 + 1.2x = 108 Solving 72 + 1.2x = 108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 1.2x = 108 + -72 Combine like terms: 72 + -72 = 0 0 + 1.2x = 108 + -72 1.2x = 108 + -72 Combine like terms: 108 + -72 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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