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Simplifying (3x + -12) + (2x + 8) = 106 Reorder the terms: (-12 + 3x) + (2x + 8) = 106 Remove parenthesis around (-12 + 3x) -12 + 3x + (2x + 8) = 106 Reorder the terms: -12 + 3x + (8 + 2x) = 106 Remove parenthesis around (8 + 2x) -12 + 3x + 8 + 2x = 106 Reorder the terms: -12 + 8 + 3x + 2x = 106 Combine like terms: -12 + 8 = -4 -4 + 3x + 2x = 106 Combine like terms: 3x + 2x = 5x -4 + 5x = 106 Solving -4 + 5x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 106 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 106 + 4 5x = 106 + 4 Combine like terms: 106 + 4 = 110 5x = 110 Divide each side by '5'. x = 22 Simplifying x = 22
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