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Simplifying 0.50(x) + 10 = 0.75(x) + 6 Reorder the terms: 10 + 0.50x = 0.75(x) + 6 Reorder the terms: 10 + 0.50x = 6 + 0.75x Solving 10 + 0.50x = 6 + 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. 10 + 0.50x + -0.75x = 6 + 0.75x + -0.75x Combine like terms: 0.50x + -0.75x = -0.25x 10 + -0.25x = 6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 10 + -0.25x = 6 + 0.00 10 + -0.25x = 6 Add '-10' to each side of the equation. 10 + -10 + -0.25x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -0.25x = 6 + -10 -0.25x = 6 + -10 Combine like terms: 6 + -10 = -4 -0.25x = -4 Divide each side by '-0.25'. x = 16 Simplifying x = 16
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