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Simplifying -0.16667(x + -18) + 0.5(x + 2) = x + 16 Reorder the terms: -0.16667(-18 + x) + 0.5(x + 2) = x + 16 (-18 * -0.16667 + x * -0.16667) + 0.5(x + 2) = x + 16 (3.00006 + -0.16667x) + 0.5(x + 2) = x + 16 Reorder the terms: 3.00006 + -0.16667x + 0.5(2 + x) = x + 16 3.00006 + -0.16667x + (2 * 0.5 + x * 0.5) = x + 16 3.00006 + -0.16667x + (1 + 0.5x) = x + 16 Reorder the terms: 3.00006 + 1 + -0.16667x + 0.5x = x + 16 Combine like terms: 3.00006 + 1 = 4.00006 4.00006 + -0.16667x + 0.5x = x + 16 Combine like terms: -0.16667x + 0.5x = 0.33333x 4.00006 + 0.33333x = x + 16 Reorder the terms: 4.00006 + 0.33333x = 16 + x Solving 4.00006 + 0.33333x = 16 + 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. 4.00006 + 0.33333x + -1x = 16 + x + -1x Combine like terms: 0.33333x + -1x = -0.66667x 4.00006 + -0.66667x = 16 + x + -1x Combine like terms: x + -1x = 0 4.00006 + -0.66667x = 16 + 0 4.00006 + -0.66667x = 16 Add '-4.00006' to each side of the equation. 4.00006 + -4.00006 + -0.66667x = 16 + -4.00006 Combine like terms: 4.00006 + -4.00006 = 0.00000 0.00000 + -0.66667x = 16 + -4.00006 -0.66667x = 16 + -4.00006 Combine like terms: 16 + -4.00006 = 11.99994 -0.66667x = 11.99994 Divide each side by '-0.66667'. x = -17.99982 Simplifying x = -17.99982
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