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Simplifying 5x + 4x(x + 2) + -1x(4x + 7) + -4 = 20 Reorder the terms: 5x + 4x(2 + x) + -1x(4x + 7) + -4 = 20 5x + (2 * 4x + x * 4x) + -1x(4x + 7) + -4 = 20 5x + (8x + 4x2) + -1x(4x + 7) + -4 = 20 Reorder the terms: 5x + 8x + 4x2 + -1x(7 + 4x) + -4 = 20 5x + 8x + 4x2 + (7 * -1x + 4x * -1x) + -4 = 20 5x + 8x + 4x2 + (-7x + -4x2) + -4 = 20 Reorder the terms: -4 + 5x + 8x + -7x + 4x2 + -4x2 = 20 Combine like terms: 5x + 8x = 13x -4 + 13x + -7x + 4x2 + -4x2 = 20 Combine like terms: 13x + -7x = 6x -4 + 6x + 4x2 + -4x2 = 20 Combine like terms: 4x2 + -4x2 = 0 -4 + 6x + 0 = 20 -4 + 6x = 20 Solving -4 + 6x = 20 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 + 6x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 20 + 4 6x = 20 + 4 Combine like terms: 20 + 4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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