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Simplifying -5(6 + x) + -6 = 6x + 5(7x + 2) (6 * -5 + x * -5) + -6 = 6x + 5(7x + 2) (-30 + -5x) + -6 = 6x + 5(7x + 2) Reorder the terms: -30 + -6 + -5x = 6x + 5(7x + 2) Combine like terms: -30 + -6 = -36 -36 + -5x = 6x + 5(7x + 2) Reorder the terms: -36 + -5x = 6x + 5(2 + 7x) -36 + -5x = 6x + (2 * 5 + 7x * 5) -36 + -5x = 6x + (10 + 35x) Reorder the terms: -36 + -5x = 10 + 6x + 35x Combine like terms: 6x + 35x = 41x -36 + -5x = 10 + 41x Solving -36 + -5x = 10 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. -36 + -5x + -41x = 10 + 41x + -41x Combine like terms: -5x + -41x = -46x -36 + -46x = 10 + 41x + -41x Combine like terms: 41x + -41x = 0 -36 + -46x = 10 + 0 -36 + -46x = 10 Add '36' to each side of the equation. -36 + 36 + -46x = 10 + 36 Combine like terms: -36 + 36 = 0 0 + -46x = 10 + 36 -46x = 10 + 36 Combine like terms: 10 + 36 = 46 -46x = 46 Divide each side by '-46'. x = -1 Simplifying x = -1
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