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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 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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