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Simplifying (2x + 1) + (3x + -4) = 12 Reorder the terms: (1 + 2x) + (3x + -4) = 12 Remove parenthesis around (1 + 2x) 1 + 2x + (3x + -4) = 12 Reorder the terms: 1 + 2x + (-4 + 3x) = 12 Remove parenthesis around (-4 + 3x) 1 + 2x + -4 + 3x = 12 Reorder the terms: 1 + -4 + 2x + 3x = 12 Combine like terms: 1 + -4 = -3 -3 + 2x + 3x = 12 Combine like terms: 2x + 3x = 5x -3 + 5x = 12 Solving -3 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 12 + 3 5x = 12 + 3 Combine like terms: 12 + 3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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