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Simplifying (4x + 12) + (6x + -8) = 24 Reorder the terms: (12 + 4x) + (6x + -8) = 24 Remove parenthesis around (12 + 4x) 12 + 4x + (6x + -8) = 24 Reorder the terms: 12 + 4x + (-8 + 6x) = 24 Remove parenthesis around (-8 + 6x) 12 + 4x + -8 + 6x = 24 Reorder the terms: 12 + -8 + 4x + 6x = 24 Combine like terms: 12 + -8 = 4 4 + 4x + 6x = 24 Combine like terms: 4x + 6x = 10x 4 + 10x = 24 Solving 4 + 10x = 24 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 + 10x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 24 + -4 10x = 24 + -4 Combine like terms: 24 + -4 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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