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Simplifying 88 = (4x + 4)(x + 4) + -1(4x)(x) Reorder the terms: 88 = (4 + 4x)(x + 4) + -1(4x)(x) Reorder the terms: 88 = (4 + 4x)(4 + x) + -1(4x)(x) Multiply (4 + 4x) * (4 + x) 88 = (4(4 + x) + 4x * (4 + x)) + -1(4x)(x) 88 = ((4 * 4 + x * 4) + 4x * (4 + x)) + -1(4x)(x) 88 = ((16 + 4x) + 4x * (4 + x)) + -1(4x)(x) 88 = (16 + 4x + (4 * 4x + x * 4x)) + -1(4x)(x) 88 = (16 + 4x + (16x + 4x2)) + -1(4x)(x) Combine like terms: 4x + 16x = 20x 88 = (16 + 20x + 4x2) + -1(4x)(x) Remove parenthesis around (4x) 88 = 16 + 20x + 4x2 + -1 * 4x(x) Multiply -1 * 4 88 = 16 + 20x + 4x2 + -4x * x Multiply x * x 88 = 16 + 20x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 88 = 16 + 20x + 0 88 = 16 + 20x Solving 88 = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 88 + -20x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 88 + -20x = 16 + 0 88 + -20x = 16 Add '-88' to each side of the equation. 88 + -88 + -20x = 16 + -88 Combine like terms: 88 + -88 = 0 0 + -20x = 16 + -88 -20x = 16 + -88 Combine like terms: 16 + -88 = -72 -20x = -72 Divide each side by '-20'. x = 3.6 Simplifying x = 3.6
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