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Simplifying -0.1667(x + -18) + 0.5(x + 2) = x + -20 Reorder the terms: -0.1667(-18 + x) + 0.5(x + 2) = x + -20 (-18 * -0.1667 + x * -0.1667) + 0.5(x + 2) = x + -20 (3.0006 + -0.1667x) + 0.5(x + 2) = x + -20 Reorder the terms: 3.0006 + -0.1667x + 0.5(2 + x) = x + -20 3.0006 + -0.1667x + (2 * 0.5 + x * 0.5) = x + -20 3.0006 + -0.1667x + (1 + 0.5x) = x + -20 Reorder the terms: 3.0006 + 1 + -0.1667x + 0.5x = x + -20 Combine like terms: 3.0006 + 1 = 4.0006 4.0006 + -0.1667x + 0.5x = x + -20 Combine like terms: -0.1667x + 0.5x = 0.3333x 4.0006 + 0.3333x = x + -20 Reorder the terms: 4.0006 + 0.3333x = -20 + x Solving 4.0006 + 0.3333x = -20 + 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. 4.0006 + 0.3333x + -1x = -20 + x + -1x Combine like terms: 0.3333x + -1x = -0.6667x 4.0006 + -0.6667x = -20 + x + -1x Combine like terms: x + -1x = 0 4.0006 + -0.6667x = -20 + 0 4.0006 + -0.6667x = -20 Add '-4.0006' to each side of the equation. 4.0006 + -4.0006 + -0.6667x = -20 + -4.0006 Combine like terms: 4.0006 + -4.0006 = 0.0000 0.0000 + -0.6667x = -20 + -4.0006 -0.6667x = -20 + -4.0006 Combine like terms: -20 + -4.0006 = -24.0006 -0.6667x = -24.0006 Divide each side by '-0.6667'. x = 35.99910004 Simplifying x = 35.99910004
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