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Simplifying 426.70 = 34(x + 2.55) Reorder the terms: 426.70 = 34(2.55 + x) 426.70 = (2.55 * 34 + x * 34) 426.70 = (86.7 + 34x) Solving 426.70 = 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. 426.70 + -34x = 86.7 + 34x + -34x Combine like terms: 34x + -34x = 0 426.70 + -34x = 86.7 + 0 426.70 + -34x = 86.7 Add '-426.70' to each side of the equation. 426.70 + -426.70 + -34x = 86.7 + -426.70 Combine like terms: 426.70 + -426.70 = 0.00 0.00 + -34x = 86.7 + -426.70 -34x = 86.7 + -426.70 Combine like terms: 86.7 + -426.70 = -340 -34x = -340 Divide each side by '-34'. x = 10 Simplifying x = 10
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