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Simplifying 3(x + 4) + 4(x + -2) = 0 Reorder the terms: 3(4 + x) + 4(x + -2) = 0 (4 * 3 + x * 3) + 4(x + -2) = 0 (12 + 3x) + 4(x + -2) = 0 Reorder the terms: 12 + 3x + 4(-2 + x) = 0 12 + 3x + (-2 * 4 + x * 4) = 0 12 + 3x + (-8 + 4x) = 0 Reorder the terms: 12 + -8 + 3x + 4x = 0 Combine like terms: 12 + -8 = 4 4 + 3x + 4x = 0 Combine like terms: 3x + 4x = 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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