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Simplifying 1.25 + 0.75(5 + -1x) = 0.90x 1.25 + (5 * 0.75 + -1x * 0.75) = 0.90x 1.25 + (3.75 + -0.75x) = 0.90x Combine like terms: 1.25 + 3.75 = 5 5 + -0.75x = 0.90x Solving 5 + -0.75x = 0.90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.90x' to each side of the equation. 5 + -0.75x + -0.90x = 0.90x + -0.90x Combine like terms: -0.75x + -0.90x = -1.65x 5 + -1.65x = 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 5 + -1.65x = 0.00 Add '-5' to each side of the equation. 5 + -5 + -1.65x = 0.00 + -5 Combine like terms: 5 + -5 = 0 0 + -1.65x = 0.00 + -5 -1.65x = 0.00 + -5 Combine like terms: 0.00 + -5 = -5 -1.65x = -5 Divide each side by '-1.65'. x = 3.03030303 Simplifying x = 3.03030303
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