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Simplifying 3(x + 2) + 4(x + -5) = 0 Reorder the terms: 3(2 + x) + 4(x + -5) = 0 (2 * 3 + x * 3) + 4(x + -5) = 0 (6 + 3x) + 4(x + -5) = 0 Reorder the terms: 6 + 3x + 4(-5 + x) = 0 6 + 3x + (-5 * 4 + x * 4) = 0 6 + 3x + (-20 + 4x) = 0 Reorder the terms: 6 + -20 + 3x + 4x = 0 Combine like terms: 6 + -20 = -14 -14 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x -14 + 7x = 0 Solving -14 + 7x = 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 + 7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 0 + 14 7x = 0 + 14 Combine like terms: 0 + 14 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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