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Simplifying 2(x + 5) + 4(x + -6) = 0 Reorder the terms: 2(5 + x) + 4(x + -6) = 0 (5 * 2 + x * 2) + 4(x + -6) = 0 (10 + 2x) + 4(x + -6) = 0 Reorder the terms: 10 + 2x + 4(-6 + x) = 0 10 + 2x + (-6 * 4 + x * 4) = 0 10 + 2x + (-24 + 4x) = 0 Reorder the terms: 10 + -24 + 2x + 4x = 0 Combine like terms: 10 + -24 = -14 -14 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -14 + 6x = 0 Solving -14 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 0 + 14 6x = 0 + 14 Combine like terms: 0 + 14 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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