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Simplifying 0.6(x + 100) + 0.8x = 109 Reorder the terms: 0.6(100 + x) + 0.8x = 109 (100 * 0.6 + x * 0.6) + 0.8x = 109 (60 + 0.6x) + 0.8x = 109 Combine like terms: 0.6x + 0.8x = 1.4x 60 + 1.4x = 109 Solving 60 + 1.4x = 109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 1.4x = 109 + -60 Combine like terms: 60 + -60 = 0 0 + 1.4x = 109 + -60 1.4x = 109 + -60 Combine like terms: 109 + -60 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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