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Simplifying -0.166(x + -12) + 0.5(x + 2) = x + 11 Reorder the terms: -0.166(-12 + x) + 0.5(x + 2) = x + 11 (-12 * -0.166 + x * -0.166) + 0.5(x + 2) = x + 11 (1.992 + -0.166x) + 0.5(x + 2) = x + 11 Reorder the terms: 1.992 + -0.166x + 0.5(2 + x) = x + 11 1.992 + -0.166x + (2 * 0.5 + x * 0.5) = x + 11 1.992 + -0.166x + (1 + 0.5x) = x + 11 Reorder the terms: 1.992 + 1 + -0.166x + 0.5x = x + 11 Combine like terms: 1.992 + 1 = 2.992 2.992 + -0.166x + 0.5x = x + 11 Combine like terms: -0.166x + 0.5x = 0.334x 2.992 + 0.334x = x + 11 Reorder the terms: 2.992 + 0.334x = 11 + x Solving 2.992 + 0.334x = 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. 2.992 + 0.334x + -1x = 11 + x + -1x Combine like terms: 0.334x + -1x = -0.666x 2.992 + -0.666x = 11 + x + -1x Combine like terms: x + -1x = 0 2.992 + -0.666x = 11 + 0 2.992 + -0.666x = 11 Add '-2.992' to each side of the equation. 2.992 + -2.992 + -0.666x = 11 + -2.992 Combine like terms: 2.992 + -2.992 = 0.000 0.000 + -0.666x = 11 + -2.992 -0.666x = 11 + -2.992 Combine like terms: 11 + -2.992 = 8.008 -0.666x = 8.008 Divide each side by '-0.666'. x = -12.02402402 Simplifying x = -12.02402402
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