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Simplifying 4(x + 7) + 3(x + 5) = 0 Reorder the terms: 4(7 + x) + 3(x + 5) = 0 (7 * 4 + x * 4) + 3(x + 5) = 0 (28 + 4x) + 3(x + 5) = 0 Reorder the terms: 28 + 4x + 3(5 + x) = 0 28 + 4x + (5 * 3 + x * 3) = 0 28 + 4x + (15 + 3x) = 0 Reorder the terms: 28 + 15 + 4x + 3x = 0 Combine like terms: 28 + 15 = 43 43 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 43 + 7x = 0 Solving 43 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 0 + -43 7x = 0 + -43 Combine like terms: 0 + -43 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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