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Simplifying -5(6 + -1x) + 8 = 12 + -7(x + 2) (6 * -5 + -1x * -5) + 8 = 12 + -7(x + 2) (-30 + 5x) + 8 = 12 + -7(x + 2) Reorder the terms: -30 + 8 + 5x = 12 + -7(x + 2) Combine like terms: -30 + 8 = -22 -22 + 5x = 12 + -7(x + 2) Reorder the terms: -22 + 5x = 12 + -7(2 + x) -22 + 5x = 12 + (2 * -7 + x * -7) -22 + 5x = 12 + (-14 + -7x) Combine like terms: 12 + -14 = -2 -22 + 5x = -2 + -7x Solving -22 + 5x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -22 + 5x + 7x = -2 + -7x + 7x Combine like terms: 5x + 7x = 12x -22 + 12x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -22 + 12x = -2 + 0 -22 + 12x = -2 Add '22' to each side of the equation. -22 + 22 + 12x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = -2 + 22 12x = -2 + 22 Combine like terms: -2 + 22 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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