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Simplifying 494.70 = 34(x + 2.55) Reorder the terms: 494.70 = 34(2.55 + x) 494.70 = (2.55 * 34 + x * 34) 494.70 = (86.7 + 34x) Solving 494.70 = 86.7 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 494.70 + -34x = 86.7 + 34x + -34x Combine like terms: 34x + -34x = 0 494.70 + -34x = 86.7 + 0 494.70 + -34x = 86.7 Add '-494.70' to each side of the equation. 494.70 + -494.70 + -34x = 86.7 + -494.70 Combine like terms: 494.70 + -494.70 = 0.00 0.00 + -34x = 86.7 + -494.70 -34x = 86.7 + -494.70 Combine like terms: 86.7 + -494.70 = -408 -34x = -408 Divide each side by '-34'. x = 12 Simplifying x = 12
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