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Simplifying -46 + -8x = 5(-7x + 7) Reorder the terms: -46 + -8x = 5(7 + -7x) -46 + -8x = (7 * 5 + -7x * 5) -46 + -8x = (35 + -35x) Solving -46 + -8x = 35 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -46 + -8x + 35x = 35 + -35x + 35x Combine like terms: -8x + 35x = 27x -46 + 27x = 35 + -35x + 35x Combine like terms: -35x + 35x = 0 -46 + 27x = 35 + 0 -46 + 27x = 35 Add '46' to each side of the equation. -46 + 46 + 27x = 35 + 46 Combine like terms: -46 + 46 = 0 0 + 27x = 35 + 46 27x = 35 + 46 Combine like terms: 35 + 46 = 81 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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