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Simplifying 4(x + 5) + 3(7x + 4) = 0 Reorder the terms: 4(5 + x) + 3(7x + 4) = 0 (5 * 4 + x * 4) + 3(7x + 4) = 0 (20 + 4x) + 3(7x + 4) = 0 Reorder the terms: 20 + 4x + 3(4 + 7x) = 0 20 + 4x + (4 * 3 + 7x * 3) = 0 20 + 4x + (12 + 21x) = 0 Reorder the terms: 20 + 12 + 4x + 21x = 0 Combine like terms: 20 + 12 = 32 32 + 4x + 21x = 0 Combine like terms: 4x + 21x = 25x 32 + 25x = 0 Solving 32 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 25x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 25x = 0 + -32 25x = 0 + -32 Combine like terms: 0 + -32 = -32 25x = -32 Divide each side by '25'. x = -1.28 Simplifying x = -1.28
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