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Simplifying 0.2x + 6 = 0.5x + 18 Reorder the terms: 6 + 0.2x = 0.5x + 18 Reorder the terms: 6 + 0.2x = 18 + 0.5x Solving 6 + 0.2x = 18 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 0.2x + -0.5x = 18 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 6 + -0.3x = 18 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -0.3x = 18 + 0.0 6 + -0.3x = 18 Add '-6' to each side of the equation. 6 + -6 + -0.3x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -0.3x = 18 + -6 -0.3x = 18 + -6 Combine like terms: 18 + -6 = 12 -0.3x = 12 Divide each side by '-0.3'. x = -40 Simplifying x = -40
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