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Simplifying 0.5(x + -10) = 0.2x + 4 Reorder the terms: 0.5(-10 + x) = 0.2x + 4 (-10 * 0.5 + x * 0.5) = 0.2x + 4 (-5 + 0.5x) = 0.2x + 4 Reorder the terms: -5 + 0.5x = 4 + 0.2x Solving -5 + 0.5x = 4 + 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. -5 + 0.5x + -0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -5 + 0.3x = 4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -5 + 0.3x = 4 + 0.0 -5 + 0.3x = 4 Add '5' to each side of the equation. -5 + 5 + 0.3x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 0.3x = 4 + 5 0.3x = 4 + 5 Combine like terms: 4 + 5 = 9 0.3x = 9 Divide each side by '0.3'. x = 30 Simplifying x = 30
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