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Simplifying x(7x + -2) + x(2x + -5) = (9x + 7)(x + -7) Reorder the terms: x(-2 + 7x) + x(2x + -5) = (9x + 7)(x + -7) (-2 * x + 7x * x) + x(2x + -5) = (9x + 7)(x + -7) (-2x + 7x2) + x(2x + -5) = (9x + 7)(x + -7) Reorder the terms: -2x + 7x2 + x(-5 + 2x) = (9x + 7)(x + -7) -2x + 7x2 + (-5 * x + 2x * x) = (9x + 7)(x + -7) -2x + 7x2 + (-5x + 2x2) = (9x + 7)(x + -7) Reorder the terms: -2x + -5x + 7x2 + 2x2 = (9x + 7)(x + -7) Combine like terms: -2x + -5x = -7x -7x + 7x2 + 2x2 = (9x + 7)(x + -7) Combine like terms: 7x2 + 2x2 = 9x2 -7x + 9x2 = (9x + 7)(x + -7) Reorder the terms: -7x + 9x2 = (7 + 9x)(x + -7) Reorder the terms: -7x + 9x2 = (7 + 9x)(-7 + x) Multiply (7 + 9x) * (-7 + x) -7x + 9x2 = (7(-7 + x) + 9x * (-7 + x)) -7x + 9x2 = ((-7 * 7 + x * 7) + 9x * (-7 + x)) -7x + 9x2 = ((-49 + 7x) + 9x * (-7 + x)) -7x + 9x2 = (-49 + 7x + (-7 * 9x + x * 9x)) -7x + 9x2 = (-49 + 7x + (-63x + 9x2)) Combine like terms: 7x + -63x = -56x -7x + 9x2 = (-49 + -56x + 9x2) Add '-9x2' to each side of the equation. -7x + 9x2 + -9x2 = -49 + -56x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -7x + 0 = -49 + -56x + 9x2 + -9x2 -7x = -49 + -56x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -7x = -49 + -56x + 0 -7x = -49 + -56x Solving -7x = -49 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -7x + 56x = -49 + -56x + 56x Combine like terms: -7x + 56x = 49x 49x = -49 + -56x + 56x Combine like terms: -56x + 56x = 0 49x = -49 + 0 49x = -49 Divide each side by '49'. x = -1 Simplifying x = -1
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