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Simplifying (x + 1)(x + -4) + 2x = x(x + 3) Reorder the terms: (1 + x)(x + -4) + 2x = x(x + 3) Reorder the terms: (1 + x)(-4 + x) + 2x = x(x + 3) Multiply (1 + x) * (-4 + x) (1(-4 + x) + x(-4 + x)) + 2x = x(x + 3) ((-4 * 1 + x * 1) + x(-4 + x)) + 2x = x(x + 3) ((-4 + 1x) + x(-4 + x)) + 2x = x(x + 3) (-4 + 1x + (-4 * x + x * x)) + 2x = x(x + 3) (-4 + 1x + (-4x + x2)) + 2x = x(x + 3) Combine like terms: 1x + -4x = -3x (-4 + -3x + x2) + 2x = x(x + 3) Reorder the terms: -4 + -3x + 2x + x2 = x(x + 3) Combine like terms: -3x + 2x = -1x -4 + -1x + x2 = x(x + 3) Reorder the terms: -4 + -1x + x2 = x(3 + x) -4 + -1x + x2 = (3 * x + x * x) -4 + -1x + x2 = (3x + x2) Add '-1x2' to each side of the equation. -4 + -1x + x2 + -1x2 = 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -1x + 0 = 3x + x2 + -1x2 -4 + -1x = 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -1x = 3x + 0 -4 + -1x = 3x Solving -4 + -1x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x -4 + -4x = 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -4x = 0 Add '4' to each side of the equation. -4 + 4 + -4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 0 + 4 -4x = 0 + 4 Combine like terms: 0 + 4 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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