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Simplifying 8x + (5x + -6 + -4x + 1) = 4x + (4x + -1) Reorder the terms: 8x + (-6 + 1 + 5x + -4x) = 4x + (4x + -1) Combine like terms: -6 + 1 = -5 8x + (-5 + 5x + -4x) = 4x + (4x + -1) Combine like terms: 5x + -4x = 1x 8x + (-5 + 1x) = 4x + (4x + -1) Remove parenthesis around (-5 + 1x) 8x + -5 + 1x = 4x + (4x + -1) Reorder the terms: -5 + 8x + 1x = 4x + (4x + -1) Combine like terms: 8x + 1x = 9x -5 + 9x = 4x + (4x + -1) Reorder the terms: -5 + 9x = 4x + (-1 + 4x) Remove parenthesis around (-1 + 4x) -5 + 9x = 4x + -1 + 4x Reorder the terms: -5 + 9x = -1 + 4x + 4x Combine like terms: 4x + 4x = 8x -5 + 9x = -1 + 8x Solving -5 + 9x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 9x + -8x = -1 + 8x + -8x Combine like terms: 9x + -8x = 1x -5 + 1x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 1x = -1 + 0 -5 + 1x = -1 Add '5' to each side of the equation. -5 + 5 + 1x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -1 + 5 1x = -1 + 5 Combine like terms: -1 + 5 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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