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Simplifying 0.1x + 0.5(x + -4) = 8.6 Reorder the terms: 0.1x + 0.5(-4 + x) = 8.6 0.1x + (-4 * 0.5 + x * 0.5) = 8.6 0.1x + (-2 + 0.5x) = 8.6 Reorder the terms: -2 + 0.1x + 0.5x = 8.6 Combine like terms: 0.1x + 0.5x = 0.6x -2 + 0.6x = 8.6 Solving -2 + 0.6x = 8.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 0.6x = 8.6 + 2 Combine like terms: -2 + 2 = 0 0 + 0.6x = 8.6 + 2 0.6x = 8.6 + 2 Combine like terms: 8.6 + 2 = 10.6 0.6x = 10.6 Divide each side by '0.6'. x = 17.66666667 Simplifying x = 17.66666667
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