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Simplifying X + (3x + -1) = 8 + (2x + 1) Reorder the terms: X + (-1 + 3x) = 8 + (2x + 1) Remove parenthesis around (-1 + 3x) X + -1 + 3x = 8 + (2x + 1) Reorder the terms: -1 + X + 3x = 8 + (2x + 1) Reorder the terms: -1 + X + 3x = 8 + (1 + 2x) Remove parenthesis around (1 + 2x) -1 + X + 3x = 8 + 1 + 2x Combine like terms: 8 + 1 = 9 -1 + X + 3x = 9 + 2x Solving -1 + X + 3x = 9 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + 1 + 3x = 9 + 1 + 2x Reorder the terms: -1 + 1 + X + 3x = 9 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + X + 3x = 9 + 1 + 2x X + 3x = 9 + 1 + 2x Combine like terms: 9 + 1 = 10 X + 3x = 10 + 2x Add '-3x' to each side of the equation. X + 3x + -3x = 10 + 2x + -3x Combine like terms: 3x + -3x = 0 X + 0 = 10 + 2x + -3x X = 10 + 2x + -3x Combine like terms: 2x + -3x = -1x X = 10 + -1x Simplifying X = 10 + -1x
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