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Simplifying 0.2x + -0.16666667(x + -5) = 6x Reorder the terms: 0.2x + -0.16666667(-5 + x) = 6x 0.2x + (-5 * -0.16666667 + x * -0.16666667) = 6x 0.2x + (0.83333335 + -0.16666667x) = 6x Reorder the terms: 0.83333335 + 0.2x + -0.16666667x = 6x Combine like terms: 0.2x + -0.16666667x = 0.03333333x 0.83333335 + 0.03333333x = 6x Solving 0.83333335 + 0.03333333x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.83333335 + 0.03333333x + -6x = 6x + -6x Combine like terms: 0.03333333x + -6x = -5.96666667x 0.83333335 + -5.96666667x = 6x + -6x Combine like terms: 6x + -6x = 0 0.83333335 + -5.96666667x = 0 Add '-0.83333335' to each side of the equation. 0.83333335 + -0.83333335 + -5.96666667x = 0 + -0.83333335 Combine like terms: 0.83333335 + -0.83333335 = 0.00000000 0.00000000 + -5.96666667x = 0 + -0.83333335 -5.96666667x = 0 + -0.83333335 Combine like terms: 0 + -0.83333335 = -0.83333335 -5.96666667x = -0.83333335 Divide each side by '-5.96666667'. x = 0.1396648072 Simplifying x = 0.1396648072
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