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Simplifying 3(x + -2) + 4(x + 8) = 0 Reorder the terms: 3(-2 + x) + 4(x + 8) = 0 (-2 * 3 + x * 3) + 4(x + 8) = 0 (-6 + 3x) + 4(x + 8) = 0 Reorder the terms: -6 + 3x + 4(8 + x) = 0 -6 + 3x + (8 * 4 + x * 4) = 0 -6 + 3x + (32 + 4x) = 0 Reorder the terms: -6 + 32 + 3x + 4x = 0 Combine like terms: -6 + 32 = 26 26 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x 26 + 7x = 0 Solving 26 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 0 + -26 7x = 0 + -26 Combine like terms: 0 + -26 = -26 7x = -26 Divide each side by '7'. x = -3.714285714 Simplifying x = -3.714285714
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