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Simplifying (x + -6)(x + 6) + x2 = 2x(x + 4) Reorder the terms: (-6 + x)(x + 6) + x2 = 2x(x + 4) Reorder the terms: (-6 + x)(6 + x) + x2 = 2x(x + 4) Multiply (-6 + x) * (6 + x) (-6(6 + x) + x(6 + x)) + x2 = 2x(x + 4) ((6 * -6 + x * -6) + x(6 + x)) + x2 = 2x(x + 4) ((-36 + -6x) + x(6 + x)) + x2 = 2x(x + 4) (-36 + -6x + (6 * x + x * x)) + x2 = 2x(x + 4) (-36 + -6x + (6x + x2)) + x2 = 2x(x + 4) Combine like terms: -6x + 6x = 0 (-36 + 0 + x2) + x2 = 2x(x + 4) (-36 + x2) + x2 = 2x(x + 4) Combine like terms: x2 + x2 = 2x2 -36 + 2x2 = 2x(x + 4) Reorder the terms: -36 + 2x2 = 2x(4 + x) -36 + 2x2 = (4 * 2x + x * 2x) -36 + 2x2 = (8x + 2x2) Add '-2x2' to each side of the equation. -36 + 2x2 + -2x2 = 8x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -36 + 0 = 8x + 2x2 + -2x2 -36 = 8x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -36 = 8x + 0 -36 = 8x Solving -36 = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -8x = 0 Add '36' to each side of the equation. -36 + 36 + -8x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = 0 + 36 -8x = 0 + 36 Combine like terms: 0 + 36 = 36 -8x = 36 Divide each side by '-8'. x = -4.5 Simplifying x = -4.5
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