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Simplifying X + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 6 + (x + 4) Reorder the terms: X + (1 + x) + (x + 2) + (x + 3) + (x + 4) = 6 + (x + 4) Remove parenthesis around (1 + x) X + 1 + x + (x + 2) + (x + 3) + (x + 4) = 6 + (x + 4) Reorder the terms: X + 1 + x + (2 + x) + (x + 3) + (x + 4) = 6 + (x + 4) Remove parenthesis around (2 + x) X + 1 + x + 2 + x + (x + 3) + (x + 4) = 6 + (x + 4) Reorder the terms: X + 1 + x + 2 + x + (3 + x) + (x + 4) = 6 + (x + 4) Remove parenthesis around (3 + x) X + 1 + x + 2 + x + 3 + x + (x + 4) = 6 + (x + 4) Reorder the terms: X + 1 + x + 2 + x + 3 + x + (4 + x) = 6 + (x + 4) Remove parenthesis around (4 + x) X + 1 + x + 2 + x + 3 + x + 4 + x = 6 + (x + 4) Reorder the terms: 1 + 2 + 3 + 4 + X + x + x + x + x = 6 + (x + 4) Combine like terms: 1 + 2 = 3 3 + 3 + 4 + X + x + x + x + x = 6 + (x + 4) Combine like terms: 3 + 3 = 6 6 + 4 + X + x + x + x + x = 6 + (x + 4) Combine like terms: 6 + 4 = 10 10 + X + x + x + x + x = 6 + (x + 4) Combine like terms: x + x = 2x 10 + X + 2x + x + x = 6 + (x + 4) Combine like terms: 2x + x = 3x 10 + X + 3x + x = 6 + (x + 4) Combine like terms: 3x + x = 4x 10 + X + 4x = 6 + (x + 4) Reorder the terms: 10 + X + 4x = 6 + (4 + x) Remove parenthesis around (4 + x) 10 + X + 4x = 6 + 4 + x Combine like terms: 6 + 4 = 10 10 + X + 4x = 10 + x Add '-10' to each side of the equation. 10 + X + -10 + 4x = 10 + -10 + x Reorder the terms: 10 + -10 + X + 4x = 10 + -10 + x Combine like terms: 10 + -10 = 0 0 + X + 4x = 10 + -10 + x X + 4x = 10 + -10 + x Combine like terms: 10 + -10 = 0 X + 4x = 0 + x X + 4x = x Solving X + 4x = x 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. X + 4x + -4x = x + -4x Combine like terms: 4x + -4x = 0 X + 0 = x + -4x X = x + -4x Combine like terms: x + -4x = -3x X = -3x Simplifying X = -3x
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