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Simplifying 0.5x + 4 = 0.18x + 16 Reorder the terms: 4 + 0.5x = 0.18x + 16 Reorder the terms: 4 + 0.5x = 16 + 0.18x Solving 4 + 0.5x = 16 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 4 + 0.5x + -0.18x = 16 + 0.18x + -0.18x Combine like terms: 0.5x + -0.18x = 0.32x 4 + 0.32x = 16 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 4 + 0.32x = 16 + 0.00 4 + 0.32x = 16 Add '-4' to each side of the equation. 4 + -4 + 0.32x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 0.32x = 16 + -4 0.32x = 16 + -4 Combine like terms: 16 + -4 = 12 0.32x = 12 Divide each side by '0.32'. x = 37.5 Simplifying x = 37.5
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