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Simplifying -5x + 2(6x + 5) = -46 Reorder the terms: -5x + 2(5 + 6x) = -46 -5x + (5 * 2 + 6x * 2) = -46 -5x + (10 + 12x) = -46 Reorder the terms: 10 + -5x + 12x = -46 Combine like terms: -5x + 12x = 7x 10 + 7x = -46 Solving 10 + 7x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = -46 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -46 + -10 7x = -46 + -10 Combine like terms: -46 + -10 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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