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Simplifying (x + -5) + -3x + -1 = 4x + 6 Reorder the terms: (-5 + x) + -3x + -1 = 4x + 6 Remove parenthesis around (-5 + x) -5 + x + -3x + -1 = 4x + 6 Reorder the terms: -5 + -1 + x + -3x = 4x + 6 Combine like terms: -5 + -1 = -6 -6 + x + -3x = 4x + 6 Combine like terms: x + -3x = -2x -6 + -2x = 4x + 6 Reorder the terms: -6 + -2x = 6 + 4x Solving -6 + -2x = 6 + 4x 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. -6 + -2x + -4x = 6 + 4x + -4x Combine like terms: -2x + -4x = -6x -6 + -6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -6x = 6 + 0 -6 + -6x = 6 Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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