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Simplifying (2x)(2x) + 5(x + 1) = 2(x + 1)(2x) Remove parenthesis around (2x) 2x(2x) + 5(x + 1) = 2(x + 1)(2x) Remove parenthesis around (2x) 2x * 2x + 5(x + 1) = 2(x + 1)(2x) Reorder the terms for easier multiplication: 2 * 2x * x + 5(x + 1) = 2(x + 1)(2x) Multiply 2 * 2 4x * x + 5(x + 1) = 2(x + 1)(2x) Multiply x * x 4x2 + 5(x + 1) = 2(x + 1)(2x) Reorder the terms: 4x2 + 5(1 + x) = 2(x + 1)(2x) 4x2 + (1 * 5 + x * 5) = 2(x + 1)(2x) 4x2 + (5 + 5x) = 2(x + 1)(2x) Reorder the terms: 5 + 5x + 4x2 = 2(x + 1)(2x) Reorder the terms: 5 + 5x + 4x2 = 2(1 + x)(2x) Remove parenthesis around (2x) 5 + 5x + 4x2 = 2(1 + x) * 2x Reorder the terms for easier multiplication: 5 + 5x + 4x2 = 2 * 2x(1 + x) Multiply 2 * 2 5 + 5x + 4x2 = 4x(1 + x) 5 + 5x + 4x2 = (1 * 4x + x * 4x) 5 + 5x + 4x2 = (4x + 4x2) Add '-4x2' to each side of the equation. 5 + 5x + 4x2 + -4x2 = 4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5 + 5x + 0 = 4x + 4x2 + -4x2 5 + 5x = 4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5 + 5x = 4x + 0 5 + 5x = 4x Solving 5 + 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 5 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 5 + 1x = 0 Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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