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Simplifying (2x + 4)(x + 2) = 2x2 + 6x Reorder the terms: (4 + 2x)(x + 2) = 2x2 + 6x Reorder the terms: (4 + 2x)(2 + x) = 2x2 + 6x Multiply (4 + 2x) * (2 + x) (4(2 + x) + 2x * (2 + x)) = 2x2 + 6x ((2 * 4 + x * 4) + 2x * (2 + x)) = 2x2 + 6x ((8 + 4x) + 2x * (2 + x)) = 2x2 + 6x (8 + 4x + (2 * 2x + x * 2x)) = 2x2 + 6x (8 + 4x + (4x + 2x2)) = 2x2 + 6x Combine like terms: 4x + 4x = 8x (8 + 8x + 2x2) = 2x2 + 6x Reorder the terms: 8 + 8x + 2x2 = 6x + 2x2 Add '-2x2' to each side of the equation. 8 + 8x + 2x2 + -2x2 = 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8 + 8x + 0 = 6x + 2x2 + -2x2 8 + 8x = 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8 + 8x = 6x + 0 8 + 8x = 6x Solving 8 + 8x = 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. 8 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 0 Add '-8' to each side of the equation. 8 + -8 + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 0 + -8 2x = 0 + -8 Combine like terms: 0 + -8 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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