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Simplifying 2x2 + 88 = (2x + 4)(x + 4) Reorder the terms: 88 + 2x2 = (2x + 4)(x + 4) Reorder the terms: 88 + 2x2 = (4 + 2x)(x + 4) Reorder the terms: 88 + 2x2 = (4 + 2x)(4 + x) Multiply (4 + 2x) * (4 + x) 88 + 2x2 = (4(4 + x) + 2x * (4 + x)) 88 + 2x2 = ((4 * 4 + x * 4) + 2x * (4 + x)) 88 + 2x2 = ((16 + 4x) + 2x * (4 + x)) 88 + 2x2 = (16 + 4x + (4 * 2x + x * 2x)) 88 + 2x2 = (16 + 4x + (8x + 2x2)) Combine like terms: 4x + 8x = 12x 88 + 2x2 = (16 + 12x + 2x2) Add '-2x2' to each side of the equation. 88 + 2x2 + -2x2 = 16 + 12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 88 + 0 = 16 + 12x + 2x2 + -2x2 88 = 16 + 12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 88 = 16 + 12x + 0 88 = 16 + 12x Solving 88 = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 88 + -12x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 88 + -12x = 16 + 0 88 + -12x = 16 Add '-88' to each side of the equation. 88 + -88 + -12x = 16 + -88 Combine like terms: 88 + -88 = 0 0 + -12x = 16 + -88 -12x = 16 + -88 Combine like terms: 16 + -88 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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