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Simplifying x(4x + -8) = (4x + 7)(x + -2) Reorder the terms: x(-8 + 4x) = (4x + 7)(x + -2) (-8 * x + 4x * x) = (4x + 7)(x + -2) (-8x + 4x2) = (4x + 7)(x + -2) Reorder the terms: -8x + 4x2 = (7 + 4x)(x + -2) Reorder the terms: -8x + 4x2 = (7 + 4x)(-2 + x) Multiply (7 + 4x) * (-2 + x) -8x + 4x2 = (7(-2 + x) + 4x * (-2 + x)) -8x + 4x2 = ((-2 * 7 + x * 7) + 4x * (-2 + x)) -8x + 4x2 = ((-14 + 7x) + 4x * (-2 + x)) -8x + 4x2 = (-14 + 7x + (-2 * 4x + x * 4x)) -8x + 4x2 = (-14 + 7x + (-8x + 4x2)) Combine like terms: 7x + -8x = -1x -8x + 4x2 = (-14 + -1x + 4x2) Add '-4x2' to each side of the equation. -8x + 4x2 + -4x2 = -14 + -1x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x + 0 = -14 + -1x + 4x2 + -4x2 -8x = -14 + -1x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x = -14 + -1x + 0 -8x = -14 + -1x Solving -8x = -14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8x + x = -14 + -1x + x Combine like terms: -8x + x = -7x -7x = -14 + -1x + x Combine like terms: -1x + x = 0 -7x = -14 + 0 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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