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Simplifying6 + -6x = 5x + -9x + -2Reorder the terms:6 + -6x = -2 + 5x + -9xCombine like terms: 5x + -9x = -4x6 + -6x = -2 + -4xSolving6 + -6x = -2 + -4xSolving 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 + -6x + 4x = -2 + -4x + 4xCombine like terms: -6x + 4x = -2x6 + -2x = -2 + -4x + 4xCombine like terms: -4x + 4x = 06 + -2x = -2 + 06 + -2x = -2Add '-6' to each side of the equation.6 + -6 + -2x = -2 + -6Combine like terms: 6 + -6 = 00 + -2x = -2 + -6-2x = -2 + -6Combine like terms: -2 + -6 = -8-2x = -8Divide each side by '-2'.x = 4Simplifyingx = 4I hope this helps!...