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Simplifying 3(4x + 3) + -2(2x + -8) = 0 Reorder the terms: 3(3 + 4x) + -2(2x + -8) = 0 (3 * 3 + 4x * 3) + -2(2x + -8) = 0 (9 + 12x) + -2(2x + -8) = 0 Reorder the terms: 9 + 12x + -2(-8 + 2x) = 0 9 + 12x + (-8 * -2 + 2x * -2) = 0 9 + 12x + (16 + -4x) = 0 Reorder the terms: 9 + 16 + 12x + -4x = 0 Combine like terms: 9 + 16 = 25 25 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x 25 + 8x = 0 Solving 25 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = 0 + -25 8x = 0 + -25 Combine like terms: 0 + -25 = -25 8x = -25 Divide each side by '8'. x = -3.125 Simplifying x = -3.125
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