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Simplifying 0.50x + 13 = 0.75x + 15 Reorder the terms: 13 + 0.50x = 0.75x + 15 Reorder the terms: 13 + 0.50x = 15 + 0.75x Solving 13 + 0.50x = 15 + 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. 13 + 0.50x + -0.75x = 15 + 0.75x + -0.75x Combine like terms: 0.50x + -0.75x = -0.25x 13 + -0.25x = 15 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 13 + -0.25x = 15 + 0.00 13 + -0.25x = 15 Add '-13' to each side of the equation. 13 + -13 + -0.25x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -0.25x = 15 + -13 -0.25x = 15 + -13 Combine like terms: 15 + -13 = 2 -0.25x = 2 Divide each side by '-0.25'. x = -8 Simplifying x = -8
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