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Simplifying 3(4x + 8) + -2(x + 4) = 0 Reorder the terms: 3(8 + 4x) + -2(x + 4) = 0 (8 * 3 + 4x * 3) + -2(x + 4) = 0 (24 + 12x) + -2(x + 4) = 0 Reorder the terms: 24 + 12x + -2(4 + x) = 0 24 + 12x + (4 * -2 + x * -2) = 0 24 + 12x + (-8 + -2x) = 0 Reorder the terms: 24 + -8 + 12x + -2x = 0 Combine like terms: 24 + -8 = 16 16 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x 16 + 10x = 0 Solving 16 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 10x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 0 + -16 10x = 0 + -16 Combine like terms: 0 + -16 = -16 10x = -16 Divide each side by '10'. x = -1.6 Simplifying x = -1.6
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