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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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