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Simplifying 6(2x + -6) = -79 + -1(2x + 4) Reorder the terms: 6(-6 + 2x) = -79 + -1(2x + 4) (-6 * 6 + 2x * 6) = -79 + -1(2x + 4) (-36 + 12x) = -79 + -1(2x + 4) Reorder the terms: -36 + 12x = -79 + -1(4 + 2x) -36 + 12x = -79 + (4 * -1 + 2x * -1) -36 + 12x = -79 + (-4 + -2x) Combine like terms: -79 + -4 = -83 -36 + 12x = -83 + -2x Solving -36 + 12x = -83 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -36 + 12x + 2x = -83 + -2x + 2x Combine like terms: 12x + 2x = 14x -36 + 14x = -83 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 14x = -83 + 0 -36 + 14x = -83 Add '36' to each side of the equation. -36 + 36 + 14x = -83 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = -83 + 36 14x = -83 + 36 Combine like terms: -83 + 36 = -47 14x = -47 Divide each side by '14'. x = -3.357142857 Simplifying x = -3.357142857
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