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Simplifying X + 5(x + -1) + 1 + -1(x) = x + 10 + -1(x5) Reorder the terms: X + 5(-1 + x) + 1 + -1(x) = x + 10 + -1(x5) X + (-1 * 5 + x * 5) + 1 + -1(x) = x + 10 + -1(x5) X + (-5 + 5x) + 1 + -1(x) = x + 10 + -1(x5) Reorder the terms: -5 + 1 + X + 5x + -1x = x + 10 + -1(x5) Combine like terms: -5 + 1 = -4 -4 + X + 5x + -1x = x + 10 + -1(x5) Combine like terms: 5x + -1x = 4x -4 + X + 4x = x + 10 + -1(x5) Reorder the terms: -4 + X + 4x = 10 + x + -1x5 Solving -4 + X + 4x = 10 + x + -1x5 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 + x + 4 + -1x5 Reorder the terms: -4 + 4 + X + 4x = 10 + x + 4 + -1x5 Combine like terms: -4 + 4 = 0 0 + X + 4x = 10 + x + 4 + -1x5 X + 4x = 10 + x + 4 + -1x5 Reorder the terms: X + 4x = 10 + 4 + x + -1x5 Combine like terms: 10 + 4 = 14 X + 4x = 14 + x + -1x5 Add '-4x' to each side of the equation. X + 4x + -4x = 14 + x + -4x + -1x5 Combine like terms: 4x + -4x = 0 X + 0 = 14 + x + -4x + -1x5 X = 14 + x + -4x + -1x5 Combine like terms: x + -4x = -3x X = 14 + -3x + -1x5 Simplifying X = 14 + -3x + -1x5
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