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Simplifying -0.166(x + -18) + 0.333(x + 3) = x + -11 Reorder the terms: -0.166(-18 + x) + 0.333(x + 3) = x + -11 (-18 * -0.166 + x * -0.166) + 0.333(x + 3) = x + -11 (2.988 + -0.166x) + 0.333(x + 3) = x + -11 Reorder the terms: 2.988 + -0.166x + 0.333(3 + x) = x + -11 2.988 + -0.166x + (3 * 0.333 + x * 0.333) = x + -11 2.988 + -0.166x + (0.999 + 0.333x) = x + -11 Reorder the terms: 2.988 + 0.999 + -0.166x + 0.333x = x + -11 Combine like terms: 2.988 + 0.999 = 3.987 3.987 + -0.166x + 0.333x = x + -11 Combine like terms: -0.166x + 0.333x = 0.167x 3.987 + 0.167x = x + -11 Reorder the terms: 3.987 + 0.167x = -11 + x Solving 3.987 + 0.167x = -11 + 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. 3.987 + 0.167x + -1x = -11 + x + -1x Combine like terms: 0.167x + -1x = -0.833x 3.987 + -0.833x = -11 + x + -1x Combine like terms: x + -1x = 0 3.987 + -0.833x = -11 + 0 3.987 + -0.833x = -11 Add '-3.987' to each side of the equation. 3.987 + -3.987 + -0.833x = -11 + -3.987 Combine like terms: 3.987 + -3.987 = 0.000 0.000 + -0.833x = -11 + -3.987 -0.833x = -11 + -3.987 Combine like terms: -11 + -3.987 = -14.987 -0.833x = -14.987 Divide each side by '-0.833'. x = 17.99159664 Simplifying x = 17.99159664
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