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Simplifying -6x + -1(-1x + 6) = (x + -2) + -4(3x + -6) Reorder the terms: -6x + -1(6 + -1x) = (x + -2) + -4(3x + -6) -6x + (6 * -1 + -1x * -1) = (x + -2) + -4(3x + -6) -6x + (-6 + 1x) = (x + -2) + -4(3x + -6) Reorder the terms: -6 + -6x + 1x = (x + -2) + -4(3x + -6) Combine like terms: -6x + 1x = -5x -6 + -5x = (x + -2) + -4(3x + -6) Reorder the terms: -6 + -5x = (-2 + x) + -4(3x + -6) Remove parenthesis around (-2 + x) -6 + -5x = -2 + x + -4(3x + -6) Reorder the terms: -6 + -5x = -2 + x + -4(-6 + 3x) -6 + -5x = -2 + x + (-6 * -4 + 3x * -4) -6 + -5x = -2 + x + (24 + -12x) Reorder the terms: -6 + -5x = -2 + 24 + x + -12x Combine like terms: -2 + 24 = 22 -6 + -5x = 22 + x + -12x Combine like terms: x + -12x = -11x -6 + -5x = 22 + -11x Solving -6 + -5x = 22 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -6 + -5x + 11x = 22 + -11x + 11x Combine like terms: -5x + 11x = 6x -6 + 6x = 22 + -11x + 11x Combine like terms: -11x + 11x = 0 -6 + 6x = 22 + 0 -6 + 6x = 22 Add '6' to each side of the equation. -6 + 6 + 6x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 22 + 6 6x = 22 + 6 Combine like terms: 22 + 6 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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