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Simplifying 0.166667(12 + -6x) = 5(x + 4) (12 * 0.166667 + -6x * 0.166667) = 5(x + 4) (2.000004 + -1.000002x) = 5(x + 4) Reorder the terms: 2.000004 + -1.000002x = 5(4 + x) 2.000004 + -1.000002x = (4 * 5 + x * 5) 2.000004 + -1.000002x = (20 + 5x) Solving 2.000004 + -1.000002x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2.000004 + -1.000002x + -5x = 20 + 5x + -5x Combine like terms: -1.000002x + -5x = -6.000002x 2.000004 + -6.000002x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 2.000004 + -6.000002x = 20 + 0 2.000004 + -6.000002x = 20 Add '-2.000004' to each side of the equation. 2.000004 + -2.000004 + -6.000002x = 20 + -2.000004 Combine like terms: 2.000004 + -2.000004 = 0.000000 0.000000 + -6.000002x = 20 + -2.000004 -6.000002x = 20 + -2.000004 Combine like terms: 20 + -2.000004 = 17.999996 -6.000002x = 17.999996 Divide each side by '-6.000002'. x = -2.999998333 Simplifying x = -2.999998333
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