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Simplifying 3(x + 2) + 4(x + -2) = 0 Reorder the terms: 3(2 + x) + 4(x + -2) = 0 (2 * 3 + x * 3) + 4(x + -2) = 0 (6 + 3x) + 4(x + -2) = 0 Reorder the terms: 6 + 3x + 4(-2 + x) = 0 6 + 3x + (-2 * 4 + x * 4) = 0 6 + 3x + (-8 + 4x) = 0 Reorder the terms: 6 + -8 + 3x + 4x = 0 Combine like terms: 6 + -8 = -2 -2 + 3x + 4x = 0 Combine like terms: 3x + 4x = 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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