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Simplifying 1.75x + 50 = 2.50x + 39.99 Reorder the terms: 50 + 1.75x = 2.50x + 39.99 Reorder the terms: 50 + 1.75x = 39.99 + 2.50x Solving 50 + 1.75x = 39.99 + 2.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.50x' to each side of the equation. 50 + 1.75x + -2.50x = 39.99 + 2.50x + -2.50x Combine like terms: 1.75x + -2.50x = -0.75x 50 + -0.75x = 39.99 + 2.50x + -2.50x Combine like terms: 2.50x + -2.50x = 0.00 50 + -0.75x = 39.99 + 0.00 50 + -0.75x = 39.99 Add '-50' to each side of the equation. 50 + -50 + -0.75x = 39.99 + -50 Combine like terms: 50 + -50 = 0 0 + -0.75x = 39.99 + -50 -0.75x = 39.99 + -50 Combine like terms: 39.99 + -50 = -10.01 -0.75x = -10.01 Divide each side by '-0.75'. x = 13.34666667 Simplifying x = 13.34666667
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