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Simplifying (4x + 1)(2x + -2) = 8x(x + 5) Reorder the terms: (1 + 4x)(2x + -2) = 8x(x + 5) Reorder the terms: (1 + 4x)(-2 + 2x) = 8x(x + 5) Multiply (1 + 4x) * (-2 + 2x) (1(-2 + 2x) + 4x * (-2 + 2x)) = 8x(x + 5) ((-2 * 1 + 2x * 1) + 4x * (-2 + 2x)) = 8x(x + 5) ((-2 + 2x) + 4x * (-2 + 2x)) = 8x(x + 5) (-2 + 2x + (-2 * 4x + 2x * 4x)) = 8x(x + 5) (-2 + 2x + (-8x + 8x2)) = 8x(x + 5) Combine like terms: 2x + -8x = -6x (-2 + -6x + 8x2) = 8x(x + 5) Reorder the terms: -2 + -6x + 8x2 = 8x(5 + x) -2 + -6x + 8x2 = (5 * 8x + x * 8x) -2 + -6x + 8x2 = (40x + 8x2) Add '-8x2' to each side of the equation. -2 + -6x + 8x2 + -8x2 = 40x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -2 + -6x + 0 = 40x + 8x2 + -8x2 -2 + -6x = 40x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -2 + -6x = 40x + 0 -2 + -6x = 40x Solving -2 + -6x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -2 + -6x + -40x = 40x + -40x Combine like terms: -6x + -40x = -46x -2 + -46x = 40x + -40x Combine like terms: 40x + -40x = 0 -2 + -46x = 0 Add '2' to each side of the equation. -2 + 2 + -46x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -46x = 0 + 2 -46x = 0 + 2 Combine like terms: 0 + 2 = 2 -46x = 2 Divide each side by '-46'. x = -0.04347826087 Simplifying x = -0.04347826087
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