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Simplifying 4x(x + 2) = (x)(4x + -2) + 50 Reorder the terms: 4x(2 + x) = (x)(4x + -2) + 50 (2 * 4x + x * 4x) = (x)(4x + -2) + 50 (8x + 4x2) = (x)(4x + -2) + 50 Reorder the terms: 8x + 4x2 = x(-2 + 4x) + 50 8x + 4x2 = (-2 * x + 4x * x) + 50 8x + 4x2 = (-2x + 4x2) + 50 Reorder the terms: 8x + 4x2 = 50 + -2x + 4x2 Add '-4x2' to each side of the equation. 8x + 4x2 + -4x2 = 50 + -2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8x + 0 = 50 + -2x + 4x2 + -4x2 8x = 50 + -2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8x = 50 + -2x + 0 8x = 50 + -2x Solving 8x = 50 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8x + 2x = 50 + -2x + 2x Combine like terms: 8x + 2x = 10x 10x = 50 + -2x + 2x Combine like terms: -2x + 2x = 0 10x = 50 + 0 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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