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Simplifying 5x + (3x + -1) = 4x + (x + -1) Reorder the terms: 5x + (-1 + 3x) = 4x + (x + -1) Remove parenthesis around (-1 + 3x) 5x + -1 + 3x = 4x + (x + -1) Reorder the terms: -1 + 5x + 3x = 4x + (x + -1) Combine like terms: 5x + 3x = 8x -1 + 8x = 4x + (x + -1) Reorder the terms: -1 + 8x = 4x + (-1 + x) Remove parenthesis around (-1 + x) -1 + 8x = 4x + -1 + x Reorder the terms: -1 + 8x = -1 + 4x + x Combine like terms: 4x + x = 5x -1 + 8x = -1 + 5x Add '1' to each side of the equation. -1 + 1 + 8x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + 8x = -1 + 1 + 5x 8x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 8x = 0 + 5x 8x = 5x Solving 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 3x = 5x + -5x Combine like terms: 5x + -5x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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