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Simplifying 749.65 = 47(x + 2.95) Reorder the terms: 749.65 = 47(2.95 + x) 749.65 = (2.95 * 47 + x * 47) 749.65 = (138.65 + 47x) Solving 749.65 = 138.65 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 749.65 + -47x = 138.65 + 47x + -47x Combine like terms: 47x + -47x = 0 749.65 + -47x = 138.65 + 0 749.65 + -47x = 138.65 Add '-749.65' to each side of the equation. 749.65 + -749.65 + -47x = 138.65 + -749.65 Combine like terms: 749.65 + -749.65 = 0.00 0.00 + -47x = 138.65 + -749.65 -47x = 138.65 + -749.65 Combine like terms: 138.65 + -749.65 = -611 -47x = -611 Divide each side by '-47'. x = 13 Simplifying x = 13
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