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Simplifying 3(x + 7) + 4(x + 3) = 0 Reorder the terms: 3(7 + x) + 4(x + 3) = 0 (7 * 3 + x * 3) + 4(x + 3) = 0 (21 + 3x) + 4(x + 3) = 0 Reorder the terms: 21 + 3x + 4(3 + x) = 0 21 + 3x + (3 * 4 + x * 4) = 0 21 + 3x + (12 + 4x) = 0 Reorder the terms: 21 + 12 + 3x + 4x = 0 Combine like terms: 21 + 12 = 33 33 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x 33 + 7x = 0 Solving 33 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 7x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 7x = 0 + -33 7x = 0 + -33 Combine like terms: 0 + -33 = -33 7x = -33 Divide each side by '7'. x = -4.714285714 Simplifying x = -4.714285714
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