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Simplifying 4(3x + 2) + -3(x + -2) = 32 Reorder the terms: 4(2 + 3x) + -3(x + -2) = 32 (2 * 4 + 3x * 4) + -3(x + -2) = 32 (8 + 12x) + -3(x + -2) = 32 Reorder the terms: 8 + 12x + -3(-2 + x) = 32 8 + 12x + (-2 * -3 + x * -3) = 32 8 + 12x + (6 + -3x) = 32 Reorder the terms: 8 + 6 + 12x + -3x = 32 Combine like terms: 8 + 6 = 14 14 + 12x + -3x = 32 Combine like terms: 12x + -3x = 9x 14 + 9x = 32 Solving 14 + 9x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 32 + -14 9x = 32 + -14 Combine like terms: 32 + -14 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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