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Simplifying (x + 4)(x + -1) = x(x + -4) Reorder the terms: (4 + x)(x + -1) = x(x + -4) Reorder the terms: (4 + x)(-1 + x) = x(x + -4) Multiply (4 + x) * (-1 + x) (4(-1 + x) + x(-1 + x)) = x(x + -4) ((-1 * 4 + x * 4) + x(-1 + x)) = x(x + -4) ((-4 + 4x) + x(-1 + x)) = x(x + -4) (-4 + 4x + (-1 * x + x * x)) = x(x + -4) (-4 + 4x + (-1x + x2)) = x(x + -4) Combine like terms: 4x + -1x = 3x (-4 + 3x + x2) = x(x + -4) Reorder the terms: -4 + 3x + x2 = x(-4 + x) -4 + 3x + x2 = (-4 * x + x * x) -4 + 3x + x2 = (-4x + x2) Add '-1x2' to each side of the equation. -4 + 3x + x2 + -1x2 = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 3x + 0 = -4x + x2 + -1x2 -4 + 3x = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 3x = -4x + 0 -4 + 3x = -4x Solving -4 + 3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x -4 + 7x = -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 7x = 0 Add '4' to each side of the equation. -4 + 4 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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