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Simplifying 0.5(x + -8) = 0.2x + 8 + -2 + 0.1 Reorder the terms: 0.5(-8 + x) = 0.2x + 8 + -2 + 0.1 (-8 * 0.5 + x * 0.5) = 0.2x + 8 + -2 + 0.1 (-4 + 0.5x) = 0.2x + 8 + -2 + 0.1 Reorder the terms: -4 + 0.5x = 8 + -2 + 0.1 + 0.2x Combine like terms: 8 + -2 = 6 -4 + 0.5x = 6 + 0.1 + 0.2x Combine like terms: 6 + 0.1 = 6.1 -4 + 0.5x = 6.1 + 0.2x Solving -4 + 0.5x = 6.1 + 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. -4 + 0.5x + -0.2x = 6.1 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -4 + 0.3x = 6.1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4 + 0.3x = 6.1 + 0.0 -4 + 0.3x = 6.1 Add '4' to each side of the equation. -4 + 4 + 0.3x = 6.1 + 4 Combine like terms: -4 + 4 = 0 0 + 0.3x = 6.1 + 4 0.3x = 6.1 + 4 Combine like terms: 6.1 + 4 = 10.1 0.3x = 10.1 Divide each side by '0.3'. x = 33.66666667 Simplifying x = 33.66666667
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