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Simplifying x(4x + -8) = (4x + 6)(x + -7) Reorder the terms: x(-8 + 4x) = (4x + 6)(x + -7) (-8 * x + 4x * x) = (4x + 6)(x + -7) (-8x + 4x2) = (4x + 6)(x + -7) Reorder the terms: -8x + 4x2 = (6 + 4x)(x + -7) Reorder the terms: -8x + 4x2 = (6 + 4x)(-7 + x) Multiply (6 + 4x) * (-7 + x) -8x + 4x2 = (6(-7 + x) + 4x * (-7 + x)) -8x + 4x2 = ((-7 * 6 + x * 6) + 4x * (-7 + x)) -8x + 4x2 = ((-42 + 6x) + 4x * (-7 + x)) -8x + 4x2 = (-42 + 6x + (-7 * 4x + x * 4x)) -8x + 4x2 = (-42 + 6x + (-28x + 4x2)) Combine like terms: 6x + -28x = -22x -8x + 4x2 = (-42 + -22x + 4x2) Add '-4x2' to each side of the equation. -8x + 4x2 + -4x2 = -42 + -22x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x + 0 = -42 + -22x + 4x2 + -4x2 -8x = -42 + -22x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x = -42 + -22x + 0 -8x = -42 + -22x Solving -8x = -42 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -8x + 22x = -42 + -22x + 22x Combine like terms: -8x + 22x = 14x 14x = -42 + -22x + 22x Combine like terms: -22x + 22x = 0 14x = -42 + 0 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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