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Simplifying 163.50 = 0.75(x) + 21 Reorder the terms: 163.50 = 21 + 0.75x Solving 163.50 = 21 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 163.50 + -0.75x = 21 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 163.50 + -0.75x = 21 + 0.00 163.50 + -0.75x = 21 Add '-163.50' to each side of the equation. 163.50 + -163.50 + -0.75x = 21 + -163.50 Combine like terms: 163.50 + -163.50 = 0.00 0.00 + -0.75x = 21 + -163.50 -0.75x = 21 + -163.50 Combine like terms: 21 + -163.50 = -142.5 -0.75x = -142.5 Divide each side by '-0.75'. x = 190 Simplifying x = 190
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