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Simplifying -5(6 + -1x) + 6 = 8 + -7(x + 2) (6 * -5 + -1x * -5) + 6 = 8 + -7(x + 2) (-30 + 5x) + 6 = 8 + -7(x + 2) Reorder the terms: -30 + 6 + 5x = 8 + -7(x + 2) Combine like terms: -30 + 6 = -24 -24 + 5x = 8 + -7(x + 2) Reorder the terms: -24 + 5x = 8 + -7(2 + x) -24 + 5x = 8 + (2 * -7 + x * -7) -24 + 5x = 8 + (-14 + -7x) Combine like terms: 8 + -14 = -6 -24 + 5x = -6 + -7x Solving -24 + 5x = -6 + -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. -24 + 5x + 7x = -6 + -7x + 7x Combine like terms: 5x + 7x = 12x -24 + 12x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 12x = -6 + 0 -24 + 12x = -6 Add '24' to each side of the equation. -24 + 24 + 12x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = -6 + 24 12x = -6 + 24 Combine like terms: -6 + 24 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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