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Simplifying 0.5x + -6 = 0.18x + 2 Reorder the terms: -6 + 0.5x = 0.18x + 2 Reorder the terms: -6 + 0.5x = 2 + 0.18x Solving -6 + 0.5x = 2 + 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. -6 + 0.5x + -0.18x = 2 + 0.18x + -0.18x Combine like terms: 0.5x + -0.18x = 0.32x -6 + 0.32x = 2 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -6 + 0.32x = 2 + 0.00 -6 + 0.32x = 2 Add '6' to each side of the equation. -6 + 6 + 0.32x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.32x = 2 + 6 0.32x = 2 + 6 Combine like terms: 2 + 6 = 8 0.32x = 8 Divide each side by '0.32'. x = 25 Simplifying x = 25
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