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Simplifying 0.5x + -9 = 0.2x + -6 Reorder the terms: -9 + 0.5x = 0.2x + -6 Reorder the terms: -9 + 0.5x = -6 + 0.2x Solving -9 + 0.5x = -6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -9 + 0.5x + -0.2x = -6 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -9 + 0.3x = -6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -9 + 0.3x = -6 + 0.0 -9 + 0.3x = -6 Add '9' to each side of the equation. -9 + 9 + 0.3x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 0.3x = -6 + 9 0.3x = -6 + 9 Combine like terms: -6 + 9 = 3 0.3x = 3 Divide each side by '0.3'. x = 10 Simplifying x = 10
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