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Simplifying X + (2x + -10) + 2x + -12 + 0.50x + 6 = 106 Reorder the terms: X + (-10 + 2x) + 2x + -12 + 0.50x + 6 = 106 Remove parenthesis around (-10 + 2x) X + -10 + 2x + 2x + -12 + 0.50x + 6 = 106 Reorder the terms: -10 + -12 + 6 + X + 2x + 2x + 0.50x = 106 Combine like terms: -10 + -12 = -22 -22 + 6 + X + 2x + 2x + 0.50x = 106 Combine like terms: -22 + 6 = -16 -16 + X + 2x + 2x + 0.50x = 106 Combine like terms: 2x + 2x = 4x -16 + X + 4x + 0.50x = 106 Combine like terms: 4x + 0.50x = 4.5x -16 + X + 4.5x = 106 Solving -16 + X + 4.5x = 106 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + X + 16 + 4.5x = 106 + 16 Reorder the terms: -16 + 16 + X + 4.5x = 106 + 16 Combine like terms: -16 + 16 = 0 0 + X + 4.5x = 106 + 16 X + 4.5x = 106 + 16 Combine like terms: 106 + 16 = 122 X + 4.5x = 122 Add '-4.5x' to each side of the equation. X + 4.5x + -4.5x = 122 + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 X + 0.0 = 122 + -4.5x X = 122 + -4.5x Simplifying X = 122 + -4.5x
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