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Simplifying 0.75x + 15 = 13 + 0.5x Reorder the terms: 15 + 0.75x = 13 + 0.5x Solving 15 + 0.75x = 13 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 15 + 0.75x + -0.5x = 13 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 15 + 0.25x = 13 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15 + 0.25x = 13 + 0.0 15 + 0.25x = 13 Add '-15' to each side of the equation. 15 + -15 + 0.25x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 0.25x = 13 + -15 0.25x = 13 + -15 Combine like terms: 13 + -15 = -2 0.25x = -2 Divide each side by '0.25'. x = -8 Simplifying x = -8
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