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Simplifying -5x + -6(x + 1) = 2(5x + 6) Reorder the terms: -5x + -6(1 + x) = 2(5x + 6) -5x + (1 * -6 + x * -6) = 2(5x + 6) -5x + (-6 + -6x) = 2(5x + 6) Reorder the terms: -6 + -5x + -6x = 2(5x + 6) Combine like terms: -5x + -6x = -11x -6 + -11x = 2(5x + 6) Reorder the terms: -6 + -11x = 2(6 + 5x) -6 + -11x = (6 * 2 + 5x * 2) -6 + -11x = (12 + 10x) Solving -6 + -11x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + -11x + -10x = 12 + 10x + -10x Combine like terms: -11x + -10x = -21x -6 + -21x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -21x = 12 + 0 -6 + -21x = 12 Add '6' to each side of the equation. -6 + 6 + -21x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -21x = 12 + 6 -21x = 12 + 6 Combine like terms: 12 + 6 = 18 -21x = 18 Divide each side by '-21'. x = -0.8571428571 Simplifying x = -0.8571428571
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