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Simplifying x(2x + -2) + x(4x + -4) = (6x + 7)(x + -2) Reorder the terms: x(-2 + 2x) + x(4x + -4) = (6x + 7)(x + -2) (-2 * x + 2x * x) + x(4x + -4) = (6x + 7)(x + -2) (-2x + 2x2) + x(4x + -4) = (6x + 7)(x + -2) Reorder the terms: -2x + 2x2 + x(-4 + 4x) = (6x + 7)(x + -2) -2x + 2x2 + (-4 * x + 4x * x) = (6x + 7)(x + -2) -2x + 2x2 + (-4x + 4x2) = (6x + 7)(x + -2) Reorder the terms: -2x + -4x + 2x2 + 4x2 = (6x + 7)(x + -2) Combine like terms: -2x + -4x = -6x -6x + 2x2 + 4x2 = (6x + 7)(x + -2) Combine like terms: 2x2 + 4x2 = 6x2 -6x + 6x2 = (6x + 7)(x + -2) Reorder the terms: -6x + 6x2 = (7 + 6x)(x + -2) Reorder the terms: -6x + 6x2 = (7 + 6x)(-2 + x) Multiply (7 + 6x) * (-2 + x) -6x + 6x2 = (7(-2 + x) + 6x * (-2 + x)) -6x + 6x2 = ((-2 * 7 + x * 7) + 6x * (-2 + x)) -6x + 6x2 = ((-14 + 7x) + 6x * (-2 + x)) -6x + 6x2 = (-14 + 7x + (-2 * 6x + x * 6x)) -6x + 6x2 = (-14 + 7x + (-12x + 6x2)) Combine like terms: 7x + -12x = -5x -6x + 6x2 = (-14 + -5x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -14 + -5x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -14 + -5x + 6x2 + -6x2 -6x = -14 + -5x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -14 + -5x + 0 -6x = -14 + -5x Solving -6x = -14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6x + 5x = -14 + -5x + 5x Combine like terms: -6x + 5x = -1x -1x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 -1x = -14 + 0 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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