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Simplifying x(7x + -7) = (7x + 8)(x + -3) Reorder the terms: x(-7 + 7x) = (7x + 8)(x + -3) (-7 * x + 7x * x) = (7x + 8)(x + -3) (-7x + 7x2) = (7x + 8)(x + -3) Reorder the terms: -7x + 7x2 = (8 + 7x)(x + -3) Reorder the terms: -7x + 7x2 = (8 + 7x)(-3 + x) Multiply (8 + 7x) * (-3 + x) -7x + 7x2 = (8(-3 + x) + 7x * (-3 + x)) -7x + 7x2 = ((-3 * 8 + x * 8) + 7x * (-3 + x)) -7x + 7x2 = ((-24 + 8x) + 7x * (-3 + x)) -7x + 7x2 = (-24 + 8x + (-3 * 7x + x * 7x)) -7x + 7x2 = (-24 + 8x + (-21x + 7x2)) Combine like terms: 8x + -21x = -13x -7x + 7x2 = (-24 + -13x + 7x2) Add '-7x2' to each side of the equation. -7x + 7x2 + -7x2 = -24 + -13x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x + 0 = -24 + -13x + 7x2 + -7x2 -7x = -24 + -13x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x = -24 + -13x + 0 -7x = -24 + -13x Solving -7x = -24 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -7x + 13x = -24 + -13x + 13x Combine like terms: -7x + 13x = 6x 6x = -24 + -13x + 13x Combine like terms: -13x + 13x = 0 6x = -24 + 0 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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