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Simplifying 0.625x + 4 = 0.375x + 12 Reorder the terms: 4 + 0.625x = 0.375x + 12 Reorder the terms: 4 + 0.625x = 12 + 0.375x Solving 4 + 0.625x = 12 + 0.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375x' to each side of the equation. 4 + 0.625x + -0.375x = 12 + 0.375x + -0.375x Combine like terms: 0.625x + -0.375x = 0.25x 4 + 0.25x = 12 + 0.375x + -0.375x Combine like terms: 0.375x + -0.375x = 0.000 4 + 0.25x = 12 + 0.000 4 + 0.25x = 12 Add '-4' to each side of the equation. 4 + -4 + 0.25x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 0.25x = 12 + -4 0.25x = 12 + -4 Combine like terms: 12 + -4 = 8 0.25x = 8 Divide each side by '0.25'. x = 32 Simplifying x = 32
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