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Simplifying 12(2x + 3) + -3(8 + 7x) = 0 Reorder the terms: 12(3 + 2x) + -3(8 + 7x) = 0 (3 * 12 + 2x * 12) + -3(8 + 7x) = 0 (36 + 24x) + -3(8 + 7x) = 0 36 + 24x + (8 * -3 + 7x * -3) = 0 36 + 24x + (-24 + -21x) = 0 Reorder the terms: 36 + -24 + 24x + -21x = 0 Combine like terms: 36 + -24 = 12 12 + 24x + -21x = 0 Combine like terms: 24x + -21x = 3x 12 + 3x = 0 Solving 12 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 0 + -12 3x = 0 + -12 Combine like terms: 0 + -12 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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