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Simplifying 5x + 0.2x + -2 = 218 + -0.3x Reorder the terms: -2 + 5x + 0.2x = 218 + -0.3x Combine like terms: 5x + 0.2x = 5.2x -2 + 5.2x = 218 + -0.3x Solving -2 + 5.2x = 218 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -2 + 5.2x + 0.3x = 218 + -0.3x + 0.3x Combine like terms: 5.2x + 0.3x = 5.5x -2 + 5.5x = 218 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -2 + 5.5x = 218 + 0.0 -2 + 5.5x = 218 Add '2' to each side of the equation. -2 + 2 + 5.5x = 218 + 2 Combine like terms: -2 + 2 = 0 0 + 5.5x = 218 + 2 5.5x = 218 + 2 Combine like terms: 218 + 2 = 220 5.5x = 220 Divide each side by '5.5'. x = 40 Simplifying x = 40
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