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Simplifying -0.166(x + -18) + 0.5(x + 2) = x + 12 Reorder the terms: -0.166(-18 + x) + 0.5(x + 2) = x + 12 (-18 * -0.166 + x * -0.166) + 0.5(x + 2) = x + 12 (2.988 + -0.166x) + 0.5(x + 2) = x + 12 Reorder the terms: 2.988 + -0.166x + 0.5(2 + x) = x + 12 2.988 + -0.166x + (2 * 0.5 + x * 0.5) = x + 12 2.988 + -0.166x + (1 + 0.5x) = x + 12 Reorder the terms: 2.988 + 1 + -0.166x + 0.5x = x + 12 Combine like terms: 2.988 + 1 = 3.988 3.988 + -0.166x + 0.5x = x + 12 Combine like terms: -0.166x + 0.5x = 0.334x 3.988 + 0.334x = x + 12 Reorder the terms: 3.988 + 0.334x = 12 + x Solving 3.988 + 0.334x = 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. 3.988 + 0.334x + -1x = 12 + x + -1x Combine like terms: 0.334x + -1x = -0.666x 3.988 + -0.666x = 12 + x + -1x Combine like terms: x + -1x = 0 3.988 + -0.666x = 12 + 0 3.988 + -0.666x = 12 Add '-3.988' to each side of the equation. 3.988 + -3.988 + -0.666x = 12 + -3.988 Combine like terms: 3.988 + -3.988 = 0.000 0.000 + -0.666x = 12 + -3.988 -0.666x = 12 + -3.988 Combine like terms: 12 + -3.988 = 8.012 -0.666x = 8.012 Divide each side by '-0.666'. x = -12.03003003 Simplifying x = -12.03003003
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