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Simplifying 5x + (3x + -1) = 4x + (x + -4) Reorder the terms: 5x + (-1 + 3x) = 4x + (x + -4) Remove parenthesis around (-1 + 3x) 5x + -1 + 3x = 4x + (x + -4) Reorder the terms: -1 + 5x + 3x = 4x + (x + -4) Combine like terms: 5x + 3x = 8x -1 + 8x = 4x + (x + -4) Reorder the terms: -1 + 8x = 4x + (-4 + x) Remove parenthesis around (-4 + x) -1 + 8x = 4x + -4 + x Reorder the terms: -1 + 8x = -4 + 4x + x Combine like terms: 4x + x = 5x -1 + 8x = -4 + 5x Solving -1 + 8x = -4 + 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. -1 + 8x + -5x = -4 + 5x + -5x Combine like terms: 8x + -5x = 3x -1 + 3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 3x = -4 + 0 -1 + 3x = -4 Add '1' to each side of the equation. -1 + 1 + 3x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -4 + 1 3x = -4 + 1 Combine like terms: -4 + 1 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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