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Simplifying 3(x + 2) + 4(2x + -8) = 0 Reorder the terms: 3(2 + x) + 4(2x + -8) = 0 (2 * 3 + x * 3) + 4(2x + -8) = 0 (6 + 3x) + 4(2x + -8) = 0 Reorder the terms: 6 + 3x + 4(-8 + 2x) = 0 6 + 3x + (-8 * 4 + 2x * 4) = 0 6 + 3x + (-32 + 8x) = 0 Reorder the terms: 6 + -32 + 3x + 8x = 0 Combine like terms: 6 + -32 = -26 -26 + 3x + 8x = 0 Combine like terms: 3x + 8x = 11x -26 + 11x = 0 Solving -26 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 11x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 0 + 26 11x = 0 + 26 Combine like terms: 0 + 26 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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