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Simplifying 11.05x + 12.30(150 + -1x) = 1738.75 11.05x + (150 * 12.30 + -1x * 12.30) = 1738.75 11.05x + (1845 + -12.3x) = 1738.75 Reorder the terms: 1845 + 11.05x + -12.3x = 1738.75 Combine like terms: 11.05x + -12.3x = -1.25x 1845 + -1.25x = 1738.75 Solving 1845 + -1.25x = 1738.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1845' to each side of the equation. 1845 + -1845 + -1.25x = 1738.75 + -1845 Combine like terms: 1845 + -1845 = 0 0 + -1.25x = 1738.75 + -1845 -1.25x = 1738.75 + -1845 Combine like terms: 1738.75 + -1845 = -106.25 -1.25x = -106.25 Divide each side by '-1.25'. x = 85 Simplifying x = 85
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