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Simplifying (52) + -1x(x + 1) = x(2 + -1x) 52 + -1x(x + 1) = x(2 + -1x) Reorder the terms: 52 + -1x(1 + x) = x(2 + -1x) 52 + (1 * -1x + x * -1x) = x(2 + -1x) 52 + (-1x + -1x2) = x(2 + -1x) 52 + -1x + -1x2 = (2 * x + -1x * x) 52 + -1x + -1x2 = (2x + -1x2) Add 'x2' to each side of the equation. 52 + -1x + -1x2 + x2 = 2x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 52 + -1x + 0 = 2x + -1x2 + x2 52 + -1x = 2x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 52 + -1x = 2x + 0 52 + -1x = 2x Solving 52 + -1x = 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. 52 + -1x + -2x = 2x + -2x Combine like terms: -1x + -2x = -3x 52 + -3x = 2x + -2x Combine like terms: 2x + -2x = 0 52 + -3x = 0 Add '-52' to each side of the equation. 52 + -52 + -3x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = 0 + -52 -3x = 0 + -52 Combine like terms: 0 + -52 = -52 -3x = -52 Divide each side by '-3'. x = 17.33333333 Simplifying x = 17.33333333
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