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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 = -32 -32 + 6 + x + 2x + 2x + (0.5x) = 106 Combine like terms: -32 + 6 = -26 -26 + x + 2x + 2x + (0.5x) = 106 Combine like terms: x + 2x = 3x -26 + 3x + 2x + (0.5x) = 106 Combine like terms: 3x + 2x = 5x -26 + 5x + (0.5x) = 106 Combine like terms: 5x + (0.5x) = 5.5x -26 + 5.5x = 106 Solving -26 + 5.5x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 5.5x = 106 + 26 Combine like terms: -26 + 26 = 0 0 + 5.5x = 106 + 26 5.5x = 106 + 26 Combine like terms: 106 + 26 = 132 5.5x = 132 Divide each side by '5.5'. x = 24 Simplifying x = 24
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