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Simplifying x(4x + -4) = (4x + 3)(x + -7) Reorder the terms: x(-4 + 4x) = (4x + 3)(x + -7) (-4 * x + 4x * x) = (4x + 3)(x + -7) (-4x + 4x2) = (4x + 3)(x + -7) Reorder the terms: -4x + 4x2 = (3 + 4x)(x + -7) Reorder the terms: -4x + 4x2 = (3 + 4x)(-7 + x) Multiply (3 + 4x) * (-7 + x) -4x + 4x2 = (3(-7 + x) + 4x * (-7 + x)) -4x + 4x2 = ((-7 * 3 + x * 3) + 4x * (-7 + x)) -4x + 4x2 = ((-21 + 3x) + 4x * (-7 + x)) -4x + 4x2 = (-21 + 3x + (-7 * 4x + x * 4x)) -4x + 4x2 = (-21 + 3x + (-28x + 4x2)) Combine like terms: 3x + -28x = -25x -4x + 4x2 = (-21 + -25x + 4x2) Add '-4x2' to each side of the equation. -4x + 4x2 + -4x2 = -21 + -25x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 0 = -21 + -25x + 4x2 + -4x2 -4x = -21 + -25x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x = -21 + -25x + 0 -4x = -21 + -25x Solving -4x = -21 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -4x + 25x = -21 + -25x + 25x Combine like terms: -4x + 25x = 21x 21x = -21 + -25x + 25x Combine like terms: -25x + 25x = 0 21x = -21 + 0 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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