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Simplifying 2x(0.75) = 100 + -1x(1.25) Reorder the terms for easier multiplication: 2 * 0.75x = 100 + -1x(1.25) Multiply 2 * 0.75 1.5x = 100 + -1x(1.25) Reorder the terms for easier multiplication: 1.5x = 100 + -1 * 1.25x Multiply -1 * 1.25 1.5x = 100 + -1.25x Solving 1.5x = 100 + -1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25x' to each side of the equation. 1.5x + 1.25x = 100 + -1.25x + 1.25x Combine like terms: 1.5x + 1.25x = 2.75x 2.75x = 100 + -1.25x + 1.25x Combine like terms: -1.25x + 1.25x = 0.00 2.75x = 100 + 0.00 2.75x = 100 Divide each side by '2.75'. x = 36.36363636 Simplifying x = 36.36363636
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