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Simplifying x(4x + -1) = (4x + 1)(x + -2) Reorder the terms: x(-1 + 4x) = (4x + 1)(x + -2) (-1 * x + 4x * x) = (4x + 1)(x + -2) (-1x + 4x2) = (4x + 1)(x + -2) Reorder the terms: -1x + 4x2 = (1 + 4x)(x + -2) Reorder the terms: -1x + 4x2 = (1 + 4x)(-2 + x) Multiply (1 + 4x) * (-2 + x) -1x + 4x2 = (1(-2 + x) + 4x * (-2 + x)) -1x + 4x2 = ((-2 * 1 + x * 1) + 4x * (-2 + x)) -1x + 4x2 = ((-2 + 1x) + 4x * (-2 + x)) -1x + 4x2 = (-2 + 1x + (-2 * 4x + x * 4x)) -1x + 4x2 = (-2 + 1x + (-8x + 4x2)) Combine like terms: 1x + -8x = -7x -1x + 4x2 = (-2 + -7x + 4x2) Add '-4x2' to each side of the equation. -1x + 4x2 + -4x2 = -2 + -7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1x + 0 = -2 + -7x + 4x2 + -4x2 -1x = -2 + -7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1x = -2 + -7x + 0 -1x = -2 + -7x Solving -1x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1x + 7x = -2 + -7x + 7x Combine like terms: -1x + 7x = 6x 6x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 6x = -2 + 0 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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