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Simplifying 4(x + 5) + 3(x + -6) = 0 Reorder the terms: 4(5 + x) + 3(x + -6) = 0 (5 * 4 + x * 4) + 3(x + -6) = 0 (20 + 4x) + 3(x + -6) = 0 Reorder the terms: 20 + 4x + 3(-6 + x) = 0 20 + 4x + (-6 * 3 + x * 3) = 0 20 + 4x + (-18 + 3x) = 0 Reorder the terms: 20 + -18 + 4x + 3x = 0 Combine like terms: 20 + -18 = 2 2 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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