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Simplifying 7x + 6 + -5(-2x + -1) = 5(x + -1) Reorder the terms: 7x + 6 + -5(-1 + -2x) = 5(x + -1) 7x + 6 + (-1 * -5 + -2x * -5) = 5(x + -1) 7x + 6 + (5 + 10x) = 5(x + -1) Reorder the terms: 6 + 5 + 7x + 10x = 5(x + -1) Combine like terms: 6 + 5 = 11 11 + 7x + 10x = 5(x + -1) Combine like terms: 7x + 10x = 17x 11 + 17x = 5(x + -1) Reorder the terms: 11 + 17x = 5(-1 + x) 11 + 17x = (-1 * 5 + x * 5) 11 + 17x = (-5 + 5x) Solving 11 + 17x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 17x + -5x = -5 + 5x + -5x Combine like terms: 17x + -5x = 12x 11 + 12x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 12x = -5 + 0 11 + 12x = -5 Add '-11' to each side of the equation. 11 + -11 + 12x = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = -5 + -11 12x = -5 + -11 Combine like terms: -5 + -11 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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