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Simplifying 0.2x + 2 = 0.5x + 11 Reorder the terms: 2 + 0.2x = 0.5x + 11 Reorder the terms: 2 + 0.2x = 11 + 0.5x Solving 2 + 0.2x = 11 + 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. 2 + 0.2x + -0.5x = 11 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 2 + -0.3x = 11 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + -0.3x = 11 + 0.0 2 + -0.3x = 11 Add '-2' to each side of the equation. 2 + -2 + -0.3x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3x = 11 + -2 -0.3x = 11 + -2 Combine like terms: 11 + -2 = 9 -0.3x = 9 Divide each side by '-0.3'. x = -30 Simplifying x = -30
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