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Simplifying 0.50x + 0.20(9.0 + -1x) = 3.75 0.50x + (9.0 * 0.20 + -1x * 0.20) = 3.75 0.50x + (1.8 + -0.2x) = 3.75 Reorder the terms: 1.8 + 0.50x + -0.2x = 3.75 Combine like terms: 0.50x + -0.2x = 0.3x 1.8 + 0.3x = 3.75 Solving 1.8 + 0.3x = 3.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.3x = 3.75 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.3x = 3.75 + -1.8 0.3x = 3.75 + -1.8 Combine like terms: 3.75 + -1.8 = 1.95 0.3x = 1.95 Divide each side by '0.3'. x = 6.5 Simplifying x = 6.5
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