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Simplifying 1.667(x + -18) + 0.5(x + -2) = x + 12 Reorder the terms: 1.667(-18 + x) + 0.5(x + -2) = x + 12 (-18 * 1.667 + x * 1.667) + 0.5(x + -2) = x + 12 (-30.006 + 1.667x) + 0.5(x + -2) = x + 12 Reorder the terms: -30.006 + 1.667x + 0.5(-2 + x) = x + 12 -30.006 + 1.667x + (-2 * 0.5 + x * 0.5) = x + 12 -30.006 + 1.667x + (-1 + 0.5x) = x + 12 Reorder the terms: -30.006 + -1 + 1.667x + 0.5x = x + 12 Combine like terms: -30.006 + -1 = -31.006 -31.006 + 1.667x + 0.5x = x + 12 Combine like terms: 1.667x + 0.5x = 2.167x -31.006 + 2.167x = x + 12 Reorder the terms: -31.006 + 2.167x = 12 + x Solving -31.006 + 2.167x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -31.006 + 2.167x + -1x = 12 + x + -1x Combine like terms: 2.167x + -1x = 1.167x -31.006 + 1.167x = 12 + x + -1x Combine like terms: x + -1x = 0 -31.006 + 1.167x = 12 + 0 -31.006 + 1.167x = 12 Add '31.006' to each side of the equation. -31.006 + 31.006 + 1.167x = 12 + 31.006 Combine like terms: -31.006 + 31.006 = 0.000 0.000 + 1.167x = 12 + 31.006 1.167x = 12 + 31.006 Combine like terms: 12 + 31.006 = 43.006 1.167x = 43.006 Divide each side by '1.167'. x = 36.85175664 Simplifying x = 36.85175664
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