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Simplifying 5(x + -6) + 2(3x + 10) = 0 Reorder the terms: 5(-6 + x) + 2(3x + 10) = 0 (-6 * 5 + x * 5) + 2(3x + 10) = 0 (-30 + 5x) + 2(3x + 10) = 0 Reorder the terms: -30 + 5x + 2(10 + 3x) = 0 -30 + 5x + (10 * 2 + 3x * 2) = 0 -30 + 5x + (20 + 6x) = 0 Reorder the terms: -30 + 20 + 5x + 6x = 0 Combine like terms: -30 + 20 = -10 -10 + 5x + 6x = 0 Combine like terms: 5x + 6x = 11x -10 + 11x = 0 Solving -10 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 0 + 10 11x = 0 + 10 Combine like terms: 0 + 10 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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