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Simplifying 3(2x + 1) + -4(x + 2) = 9 Reorder the terms: 3(1 + 2x) + -4(x + 2) = 9 (1 * 3 + 2x * 3) + -4(x + 2) = 9 (3 + 6x) + -4(x + 2) = 9 Reorder the terms: 3 + 6x + -4(2 + x) = 9 3 + 6x + (2 * -4 + x * -4) = 9 3 + 6x + (-8 + -4x) = 9 Reorder the terms: 3 + -8 + 6x + -4x = 9 Combine like terms: 3 + -8 = -5 -5 + 6x + -4x = 9 Combine like terms: 6x + -4x = 2x -5 + 2x = 9 Solving -5 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 9 + 5 2x = 9 + 5 Combine like terms: 9 + 5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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