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Simplifying 0.80(x) + 0.70(1500 + -1x) = 0.75 * 1500 0.80x + (1500 * 0.70 + -1x * 0.70) = 0.75 * 1500 0.80x + (1050 + -0.7x) = 0.75 * 1500 Reorder the terms: 1050 + 0.80x + -0.7x = 0.75 * 1500 Combine like terms: 0.80x + -0.7x = 0.1x 1050 + 0.1x = 0.75 * 1500 Multiply 0.75 * 1500 1050 + 0.1x = 1125 Solving 1050 + 0.1x = 1125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1050' to each side of the equation. 1050 + -1050 + 0.1x = 1125 + -1050 Combine like terms: 1050 + -1050 = 0 0 + 0.1x = 1125 + -1050 0.1x = 1125 + -1050 Combine like terms: 1125 + -1050 = 75 0.1x = 75 Divide each side by '0.1'. x = 750 Simplifying x = 750
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