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Simplifying 7(x + 4) + -3(x + 2) = 0 Reorder the terms: 7(4 + x) + -3(x + 2) = 0 (4 * 7 + x * 7) + -3(x + 2) = 0 (28 + 7x) + -3(x + 2) = 0 Reorder the terms: 28 + 7x + -3(2 + x) = 0 28 + 7x + (2 * -3 + x * -3) = 0 28 + 7x + (-6 + -3x) = 0 Reorder the terms: 28 + -6 + 7x + -3x = 0 Combine like terms: 28 + -6 = 22 22 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x 22 + 4x = 0 Solving 22 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 0 + -22 4x = 0 + -22 Combine like terms: 0 + -22 = -22 4x = -22 Divide each side by '4'. x = -5.5 Simplifying x = -5.5
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