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Simplifying 100 = 0.765x + 0.6x(0.765) Reorder the terms for easier multiplication: 100 = 0.765x + 0.6 * 0.765x Multiply 0.6 * 0.765 100 = 0.765x + 0.459x Combine like terms: 0.765x + 0.459x = 1.224x 100 = 1.224x Solving 100 = 1.224x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.224x' to each side of the equation. 100 + -1.224x = 1.224x + -1.224x Combine like terms: 1.224x + -1.224x = 0.000 100 + -1.224x = 0.000 Add '-100' to each side of the equation. 100 + -100 + -1.224x = 0.000 + -100 Combine like terms: 100 + -100 = 0 0 + -1.224x = 0.000 + -100 -1.224x = 0.000 + -100 Combine like terms: 0.000 + -100 = -100 -1.224x = -100 Divide each side by '-1.224'. x = 81.69934641 Simplifying x = 81.69934641
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