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Simplifying X + 5(x + -1) + 1 + -1x(x + 1) = x + 10 + -1x(x + 5) Reorder the terms: X + 5(-1 + x) + 1 + -1x(x + 1) = x + 10 + -1x(x + 5) X + (-1 * 5 + x * 5) + 1 + -1x(x + 1) = x + 10 + -1x(x + 5) X + (-5 + 5x) + 1 + -1x(x + 1) = x + 10 + -1x(x + 5) Reorder the terms: X + -5 + 5x + 1 + -1x(1 + x) = x + 10 + -1x(x + 5) X + -5 + 5x + 1 + (1 * -1x + x * -1x) = x + 10 + -1x(x + 5) X + -5 + 5x + 1 + (-1x + -1x2) = x + 10 + -1x(x + 5) Reorder the terms: -5 + 1 + X + 5x + -1x + -1x2 = x + 10 + -1x(x + 5) Combine like terms: -5 + 1 = -4 -4 + X + 5x + -1x + -1x2 = x + 10 + -1x(x + 5) Combine like terms: 5x + -1x = 4x -4 + X + 4x + -1x2 = x + 10 + -1x(x + 5) Reorder the terms: -4 + X + 4x + -1x2 = x + 10 + -1x(5 + x) -4 + X + 4x + -1x2 = x + 10 + (5 * -1x + x * -1x) -4 + X + 4x + -1x2 = x + 10 + (-5x + -1x2) Reorder the terms: -4 + X + 4x + -1x2 = 10 + x + -5x + -1x2 Combine like terms: x + -5x = -4x -4 + X + 4x + -1x2 = 10 + -4x + -1x2 Add 'x2' to each side of the equation. -4 + X + 4x + -1x2 + x2 = 10 + -4x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -4 + X + 4x + 0 = 10 + -4x + -1x2 + x2 -4 + X + 4x = 10 + -4x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -4 + X + 4x = 10 + -4x + 0 -4 + X + 4x = 10 + -4x Solving -4 + X + 4x = 10 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + X + 4 + 4x = 10 + 4 + -4x Reorder the terms: -4 + 4 + X + 4x = 10 + 4 + -4x Combine like terms: -4 + 4 = 0 0 + X + 4x = 10 + 4 + -4x X + 4x = 10 + 4 + -4x Combine like terms: 10 + 4 = 14 X + 4x = 14 + -4x Add '-4x' to each side of the equation. X + 4x + -4x = 14 + -4x + -4x Combine like terms: 4x + -4x = 0 X + 0 = 14 + -4x + -4x X = 14 + -4x + -4x Combine like terms: -4x + -4x = -8x X = 14 + -8x Simplifying X = 14 + -8x
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