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Simplifying 0.75x + 1.5 = 16 + -0.5x + 0.5 Reorder the terms: 1.5 + 0.75x = 16 + -0.5x + 0.5 Reorder the terms: 1.5 + 0.75x = 16 + 0.5 + -0.5x Combine like terms: 16 + 0.5 = 16.5 1.5 + 0.75x = 16.5 + -0.5x Solving 1.5 + 0.75x = 16.5 + -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. 1.5 + 0.75x + 0.5x = 16.5 + -0.5x + 0.5x Combine like terms: 0.75x + 0.5x = 1.25x 1.5 + 1.25x = 16.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.5 + 1.25x = 16.5 + 0.0 1.5 + 1.25x = 16.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 1.25x = 16.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1.25x = 16.5 + -1.5 1.25x = 16.5 + -1.5 Combine like terms: 16.5 + -1.5 = 15 1.25x = 15 Divide each side by '1.25'. x = 12 Simplifying x = 12
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