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Simplifying x(2x + -2) + x(5x + -2) = (7x + 8)(x + -2) Reorder the terms: x(-2 + 2x) + x(5x + -2) = (7x + 8)(x + -2) (-2 * x + 2x * x) + x(5x + -2) = (7x + 8)(x + -2) (-2x + 2x2) + x(5x + -2) = (7x + 8)(x + -2) Reorder the terms: -2x + 2x2 + x(-2 + 5x) = (7x + 8)(x + -2) -2x + 2x2 + (-2 * x + 5x * x) = (7x + 8)(x + -2) -2x + 2x2 + (-2x + 5x2) = (7x + 8)(x + -2) Reorder the terms: -2x + -2x + 2x2 + 5x2 = (7x + 8)(x + -2) Combine like terms: -2x + -2x = -4x -4x + 2x2 + 5x2 = (7x + 8)(x + -2) Combine like terms: 2x2 + 5x2 = 7x2 -4x + 7x2 = (7x + 8)(x + -2) Reorder the terms: -4x + 7x2 = (8 + 7x)(x + -2) Reorder the terms: -4x + 7x2 = (8 + 7x)(-2 + x) Multiply (8 + 7x) * (-2 + x) -4x + 7x2 = (8(-2 + x) + 7x * (-2 + x)) -4x + 7x2 = ((-2 * 8 + x * 8) + 7x * (-2 + x)) -4x + 7x2 = ((-16 + 8x) + 7x * (-2 + x)) -4x + 7x2 = (-16 + 8x + (-2 * 7x + x * 7x)) -4x + 7x2 = (-16 + 8x + (-14x + 7x2)) Combine like terms: 8x + -14x = -6x -4x + 7x2 = (-16 + -6x + 7x2) Add '-7x2' to each side of the equation. -4x + 7x2 + -7x2 = -16 + -6x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -4x + 0 = -16 + -6x + 7x2 + -7x2 -4x = -16 + -6x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -4x = -16 + -6x + 0 -4x = -16 + -6x Solving -4x = -16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4x + 6x = -16 + -6x + 6x Combine like terms: -4x + 6x = 2x 2x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 2x = -16 + 0 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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