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Simplifying (4x + 5)(x + -2) = 4x(x + -2) Reorder the terms: (5 + 4x)(x + -2) = 4x(x + -2) Reorder the terms: (5 + 4x)(-2 + x) = 4x(x + -2) Multiply (5 + 4x) * (-2 + x) (5(-2 + x) + 4x * (-2 + x)) = 4x(x + -2) ((-2 * 5 + x * 5) + 4x * (-2 + x)) = 4x(x + -2) ((-10 + 5x) + 4x * (-2 + x)) = 4x(x + -2) (-10 + 5x + (-2 * 4x + x * 4x)) = 4x(x + -2) (-10 + 5x + (-8x + 4x2)) = 4x(x + -2) Combine like terms: 5x + -8x = -3x (-10 + -3x + 4x2) = 4x(x + -2) Reorder the terms: -10 + -3x + 4x2 = 4x(-2 + x) -10 + -3x + 4x2 = (-2 * 4x + x * 4x) -10 + -3x + 4x2 = (-8x + 4x2) Add '-4x2' to each side of the equation. -10 + -3x + 4x2 + -4x2 = -8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -10 + -3x + 0 = -8x + 4x2 + -4x2 -10 + -3x = -8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -10 + -3x = -8x + 0 -10 + -3x = -8x Solving -10 + -3x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -3x + 8x = -8x + 8x Combine like terms: -3x + 8x = 5x -10 + 5x = -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 5x = 0 Add '10' to each side of the equation. -10 + 10 + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 0 + 10 5x = 0 + 10 Combine like terms: 0 + 10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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