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Simplifying x + (2(x + 10)) + (2x + -12) + ((0.5x) + 6) = 106 Reorder the terms: x + (2(10 + x)) + (2x + -12) + ((0.5x) + 6) = 106 x + ((10 * 2 + x * 2)) + (2x + -12) + ((0.5x) + 6) = 106 x + ((20 + 2x)) + (2x + -12) + ((0.5x) + 6) = 106 x + (20 + 2x) + (2x + -12) + ((0.5x) + 6) = 106 Remove parenthesis around (20 + 2x) x + 20 + 2x + (2x + -12) + ((0.5x) + 6) = 106 Reorder the terms: x + 20 + 2x + (-12 + 2x) + ((0.5x) + 6) = 106 Remove parenthesis around (-12 + 2x) x + 20 + 2x + -12 + 2x + ((0.5x) + 6) = 106 Reorder the terms: x + 20 + 2x + -12 + 2x + (6 + (0.5x)) = 106 Remove parenthesis around (6 + (0.5x)) x + 20 + 2x + -12 + 2x + 6 + (0.5x) = 106 Reorder the terms: 20 + -12 + 6 + x + 2x + 2x + (0.5x) = 106 Combine like terms: 20 + -12 = 8 8 + 6 + x + 2x + 2x + (0.5x) = 106 Combine like terms: 8 + 6 = 14 14 + x + 2x + 2x + (0.5x) = 106 Combine like terms: x + 2x = 3x 14 + 3x + 2x + (0.5x) = 106 Combine like terms: 3x + 2x = 5x 14 + 5x + (0.5x) = 106 Combine like terms: 5x + (0.5x) = 5.5x 14 + 5.5x = 106 Solving 14 + 5.5x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5.5x = 106 + -14 Combine like terms: 14 + -14 = 0 0 + 5.5x = 106 + -14 5.5x = 106 + -14 Combine like terms: 106 + -14 = 92 5.5x = 92 Divide each side by '5.5'. x = 16.72727273 Simplifying x = 16.72727273
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