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Simplifying 3(3x + 2) + -1(4x + 4) = 12 Reorder the terms: 3(2 + 3x) + -1(4x + 4) = 12 (2 * 3 + 3x * 3) + -1(4x + 4) = 12 (6 + 9x) + -1(4x + 4) = 12 Reorder the terms: 6 + 9x + -1(4 + 4x) = 12 6 + 9x + (4 * -1 + 4x * -1) = 12 6 + 9x + (-4 + -4x) = 12 Reorder the terms: 6 + -4 + 9x + -4x = 12 Combine like terms: 6 + -4 = 2 2 + 9x + -4x = 12 Combine like terms: 9x + -4x = 5x 2 + 5x = 12 Solving 2 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 12 + -2 5x = 12 + -2 Combine like terms: 12 + -2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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