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Simplifying 3(x + -4) + 8(x + 2) = 0 Reorder the terms: 3(-4 + x) + 8(x + 2) = 0 (-4 * 3 + x * 3) + 8(x + 2) = 0 (-12 + 3x) + 8(x + 2) = 0 Reorder the terms: -12 + 3x + 8(2 + x) = 0 -12 + 3x + (2 * 8 + x * 8) = 0 -12 + 3x + (16 + 8x) = 0 Reorder the terms: -12 + 16 + 3x + 8x = 0 Combine like terms: -12 + 16 = 4 4 + 3x + 8x = 0 Combine like terms: 3x + 8x = 11x 4 + 11x = 0 Solving 4 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 0 + -4 11x = 0 + -4 Combine like terms: 0 + -4 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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