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Simplifying x(4x + 7) + -1(4x2 + 5x + 4) = 4 Reorder the terms: x(7 + 4x) + -1(4x2 + 5x + 4) = 4 (7 * x + 4x * x) + -1(4x2 + 5x + 4) = 4 (7x + 4x2) + -1(4x2 + 5x + 4) = 4 Reorder the terms: 7x + 4x2 + -1(4 + 5x + 4x2) = 4 7x + 4x2 + (4 * -1 + 5x * -1 + 4x2 * -1) = 4 7x + 4x2 + (-4 + -5x + -4x2) = 4 Reorder the terms: -4 + 7x + -5x + 4x2 + -4x2 = 4 Combine like terms: 7x + -5x = 2x -4 + 2x + 4x2 + -4x2 = 4 Combine like terms: 4x2 + -4x2 = 0 -4 + 2x + 0 = 4 -4 + 2x = 4 Solving -4 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 4 + 4 2x = 4 + 4 Combine like terms: 4 + 4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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