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Simplifying 3(x + 6) + 4(2x + -5) = 0 Reorder the terms: 3(6 + x) + 4(2x + -5) = 0 (6 * 3 + x * 3) + 4(2x + -5) = 0 (18 + 3x) + 4(2x + -5) = 0 Reorder the terms: 18 + 3x + 4(-5 + 2x) = 0 18 + 3x + (-5 * 4 + 2x * 4) = 0 18 + 3x + (-20 + 8x) = 0 Reorder the terms: 18 + -20 + 3x + 8x = 0 Combine like terms: 18 + -20 = -2 -2 + 3x + 8x = 0 Combine like terms: 3x + 8x = 11x -2 + 11x = 0 Solving -2 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 0 + 2 11x = 0 + 2 Combine like terms: 0 + 2 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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