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Simplifying 90 + 1.20x = 0.75(150 + x) 90 + 1.20x = (150 * 0.75 + x * 0.75) 90 + 1.20x = (112.5 + 0.75x) Solving 90 + 1.20x = 112.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 90 + 1.20x + -0.75x = 112.5 + 0.75x + -0.75x Combine like terms: 1.20x + -0.75x = 0.45x 90 + 0.45x = 112.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 90 + 0.45x = 112.5 + 0.00 90 + 0.45x = 112.5 Add '-90' to each side of the equation. 90 + -90 + 0.45x = 112.5 + -90 Combine like terms: 90 + -90 = 0 0 + 0.45x = 112.5 + -90 0.45x = 112.5 + -90 Combine like terms: 112.5 + -90 = 22.5 0.45x = 22.5 Divide each side by '0.45'. x = 50 Simplifying x = 50
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