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Simplifying x(2x + -2) = (2x + 7)(x + -6) Reorder the terms: x(-2 + 2x) = (2x + 7)(x + -6) (-2 * x + 2x * x) = (2x + 7)(x + -6) (-2x + 2x2) = (2x + 7)(x + -6) Reorder the terms: -2x + 2x2 = (7 + 2x)(x + -6) Reorder the terms: -2x + 2x2 = (7 + 2x)(-6 + x) Multiply (7 + 2x) * (-6 + x) -2x + 2x2 = (7(-6 + x) + 2x * (-6 + x)) -2x + 2x2 = ((-6 * 7 + x * 7) + 2x * (-6 + x)) -2x + 2x2 = ((-42 + 7x) + 2x * (-6 + x)) -2x + 2x2 = (-42 + 7x + (-6 * 2x + x * 2x)) -2x + 2x2 = (-42 + 7x + (-12x + 2x2)) Combine like terms: 7x + -12x = -5x -2x + 2x2 = (-42 + -5x + 2x2) Add '-2x2' to each side of the equation. -2x + 2x2 + -2x2 = -42 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2x + 0 = -42 + -5x + 2x2 + -2x2 -2x = -42 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2x = -42 + -5x + 0 -2x = -42 + -5x Solving -2x = -42 + -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. -2x + 5x = -42 + -5x + 5x Combine like terms: -2x + 5x = 3x 3x = -42 + -5x + 5x Combine like terms: -5x + 5x = 0 3x = -42 + 0 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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