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Simplifying 1.50x + 0.85(12 + -1x) = 14.75 1.50x + (12 * 0.85 + -1x * 0.85) = 14.75 1.50x + (10.2 + -0.85x) = 14.75 Reorder the terms: 10.2 + 1.50x + -0.85x = 14.75 Combine like terms: 1.50x + -0.85x = 0.65x 10.2 + 0.65x = 14.75 Solving 10.2 + 0.65x = 14.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.2' to each side of the equation. 10.2 + -10.2 + 0.65x = 14.75 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + 0.65x = 14.75 + -10.2 0.65x = 14.75 + -10.2 Combine like terms: 14.75 + -10.2 = 4.55 0.65x = 4.55 Divide each side by '0.65'. x = 7 Simplifying x = 7
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