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Simplifying 3(x + -12) + 8(x + 2) = 0 Reorder the terms: 3(-12 + x) + 8(x + 2) = 0 (-12 * 3 + x * 3) + 8(x + 2) = 0 (-36 + 3x) + 8(x + 2) = 0 Reorder the terms: -36 + 3x + 8(2 + x) = 0 -36 + 3x + (2 * 8 + x * 8) = 0 -36 + 3x + (16 + 8x) = 0 Reorder the terms: -36 + 16 + 3x + 8x = 0 Combine like terms: -36 + 16 = -20 -20 + 3x + 8x = 0 Combine like terms: 3x + 8x = 11x -20 + 11x = 0 Solving -20 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 11x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 0 + 20 11x = 0 + 20 Combine like terms: 0 + 20 = 20 11x = 20 Divide each side by '11'. x = 1.818181818 Simplifying x = 1.818181818
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