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Simplifying -5(6 + -1x) + 6 = 4 + -7(x + 2) (6 * -5 + -1x * -5) + 6 = 4 + -7(x + 2) (-30 + 5x) + 6 = 4 + -7(x + 2) Reorder the terms: -30 + 6 + 5x = 4 + -7(x + 2) Combine like terms: -30 + 6 = -24 -24 + 5x = 4 + -7(x + 2) Reorder the terms: -24 + 5x = 4 + -7(2 + x) -24 + 5x = 4 + (2 * -7 + x * -7) -24 + 5x = 4 + (-14 + -7x) Combine like terms: 4 + -14 = -10 -24 + 5x = -10 + -7x Solving -24 + 5x = -10 + -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 = -10 + -7x + 7x Combine like terms: 5x + 7x = 12x -24 + 12x = -10 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 12x = -10 + 0 -24 + 12x = -10 Add '24' to each side of the equation. -24 + 24 + 12x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = -10 + 24 12x = -10 + 24 Combine like terms: -10 + 24 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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