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Simplifying x(2x + -4) + x(6x + -3) = (8x + 7)(x + -2) Reorder the terms: x(-4 + 2x) + x(6x + -3) = (8x + 7)(x + -2) (-4 * x + 2x * x) + x(6x + -3) = (8x + 7)(x + -2) (-4x + 2x2) + x(6x + -3) = (8x + 7)(x + -2) Reorder the terms: -4x + 2x2 + x(-3 + 6x) = (8x + 7)(x + -2) -4x + 2x2 + (-3 * x + 6x * x) = (8x + 7)(x + -2) -4x + 2x2 + (-3x + 6x2) = (8x + 7)(x + -2) Reorder the terms: -4x + -3x + 2x2 + 6x2 = (8x + 7)(x + -2) Combine like terms: -4x + -3x = -7x -7x + 2x2 + 6x2 = (8x + 7)(x + -2) Combine like terms: 2x2 + 6x2 = 8x2 -7x + 8x2 = (8x + 7)(x + -2) Reorder the terms: -7x + 8x2 = (7 + 8x)(x + -2) Reorder the terms: -7x + 8x2 = (7 + 8x)(-2 + x) Multiply (7 + 8x) * (-2 + x) -7x + 8x2 = (7(-2 + x) + 8x * (-2 + x)) -7x + 8x2 = ((-2 * 7 + x * 7) + 8x * (-2 + x)) -7x + 8x2 = ((-14 + 7x) + 8x * (-2 + x)) -7x + 8x2 = (-14 + 7x + (-2 * 8x + x * 8x)) -7x + 8x2 = (-14 + 7x + (-16x + 8x2)) Combine like terms: 7x + -16x = -9x -7x + 8x2 = (-14 + -9x + 8x2) Add '-8x2' to each side of the equation. -7x + 8x2 + -8x2 = -14 + -9x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -7x + 0 = -14 + -9x + 8x2 + -8x2 -7x = -14 + -9x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -7x = -14 + -9x + 0 -7x = -14 + -9x Solving -7x = -14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7x + 9x = -14 + -9x + 9x Combine like terms: -7x + 9x = 2x 2x = -14 + -9x + 9x Combine like terms: -9x + 9x = 0 2x = -14 + 0 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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