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Simplifying 789.60 = 48(x + 2.45) Reorder the terms: 789.60 = 48(2.45 + x) 789.60 = (2.45 * 48 + x * 48) 789.60 = (117.6 + 48x) Solving 789.60 = 117.6 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 789.60 + -48x = 117.6 + 48x + -48x Combine like terms: 48x + -48x = 0 789.60 + -48x = 117.6 + 0 789.60 + -48x = 117.6 Add '-789.60' to each side of the equation. 789.60 + -789.60 + -48x = 117.6 + -789.60 Combine like terms: 789.60 + -789.60 = 0.00 0.00 + -48x = 117.6 + -789.60 -48x = 117.6 + -789.60 Combine like terms: 117.6 + -789.60 = -672 -48x = -672 Divide each side by '-48'. x = 14 Simplifying x = 14
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