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Simplifying 0.75x + -6 = 0.125x + 4 Reorder the terms: -6 + 0.75x = 0.125x + 4 Reorder the terms: -6 + 0.75x = 4 + 0.125x Solving -6 + 0.75x = 4 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. -6 + 0.75x + -0.125x = 4 + 0.125x + -0.125x Combine like terms: 0.75x + -0.125x = 0.625x -6 + 0.625x = 4 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 -6 + 0.625x = 4 + 0.000 -6 + 0.625x = 4 Add '6' to each side of the equation. -6 + 6 + 0.625x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 0.625x = 4 + 6 0.625x = 4 + 6 Combine like terms: 4 + 6 = 10 0.625x = 10 Divide each side by '0.625'. x = 16 Simplifying x = 16
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