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Simplifying x(4 + x) + 20 = x(x) + -1(x + -5) (4 * x + x * x) + 20 = x(x) + -1(x + -5) (4x + x2) + 20 = x(x) + -1(x + -5) Reorder the terms: 20 + 4x + x2 = x(x) + -1(x + -5) Multiply x * x 20 + 4x + x2 = x2 + -1(x + -5) Reorder the terms: 20 + 4x + x2 = x2 + -1(-5 + x) 20 + 4x + x2 = x2 + (-5 * -1 + x * -1) 20 + 4x + x2 = x2 + (5 + -1x) Reorder the terms: 20 + 4x + x2 = 5 + -1x + x2 Add '-1x2' to each side of the equation. 20 + 4x + x2 + -1x2 = 5 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 4x + 0 = 5 + -1x + x2 + -1x2 20 + 4x = 5 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 4x = 5 + -1x + 0 20 + 4x = 5 + -1x Solving 20 + 4x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20 + 4x + x = 5 + -1x + x Combine like terms: 4x + x = 5x 20 + 5x = 5 + -1x + x Combine like terms: -1x + x = 0 20 + 5x = 5 + 0 20 + 5x = 5 Add '-20' to each side of the equation. 20 + -20 + 5x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 5 + -20 5x = 5 + -20 Combine like terms: 5 + -20 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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