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Simplifying X + x + 1(5) = x(x + 1) + -5 Multiply 1 * 5 X + x + 5 = x(x + 1) + -5 Reorder the terms: 5 + X + x = x(x + 1) + -5 Reorder the terms: 5 + X + x = x(1 + x) + -5 5 + X + x = (1 * x + x * x) + -5 5 + X + x = (1x + x2) + -5 Reorder the terms: 5 + X + x = -5 + 1x + x2 Solving 5 + X + x = -5 + 1x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + X + -5 + x = -5 + 1x + -5 + x2 Reorder the terms: 5 + -5 + X + x = -5 + 1x + -5 + x2 Combine like terms: 5 + -5 = 0 0 + X + x = -5 + 1x + -5 + x2 X + x = -5 + 1x + -5 + x2 Reorder the terms: X + x = -5 + -5 + 1x + x2 Combine like terms: -5 + -5 = -10 X + x = -10 + 1x + x2 Add '-1x' to each side of the equation. X + x + -1x = -10 + 1x + -1x + x2 Combine like terms: x + -1x = 0 X + 0 = -10 + 1x + -1x + x2 X = -10 + 1x + -1x + x2 Combine like terms: 1x + -1x = 0 X = -10 + 0 + x2 X = -10 + x2 Simplifying X = -10 + x2
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