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Simplifying 5(x + -6) + 2(x + 3) = 0 Reorder the terms: 5(-6 + x) + 2(x + 3) = 0 (-6 * 5 + x * 5) + 2(x + 3) = 0 (-30 + 5x) + 2(x + 3) = 0 Reorder the terms: -30 + 5x + 2(3 + x) = 0 -30 + 5x + (3 * 2 + x * 2) = 0 -30 + 5x + (6 + 2x) = 0 Reorder the terms: -30 + 6 + 5x + 2x = 0 Combine like terms: -30 + 6 = -24 -24 + 5x + 2x = 0 Combine like terms: 5x + 2x = 7x -24 + 7x = 0 Solving -24 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 0 + 24 7x = 0 + 24 Combine like terms: 0 + 24 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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