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Simplifying 5(x + 2) + 2(x + -3) = 0 Reorder the terms: 5(2 + x) + 2(x + -3) = 0 (2 * 5 + x * 5) + 2(x + -3) = 0 (10 + 5x) + 2(x + -3) = 0 Reorder the terms: 10 + 5x + 2(-3 + x) = 0 10 + 5x + (-3 * 2 + x * 2) = 0 10 + 5x + (-6 + 2x) = 0 Reorder the terms: 10 + -6 + 5x + 2x = 0 Combine like terms: 10 + -6 = 4 4 + 5x + 2x = 0 Combine like terms: 5x + 2x = 7x 4 + 7x = 0 Solving 4 + 7x = 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 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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