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Simplifying 6x + 7(2x + -6) = -182 Reorder the terms: 6x + 7(-6 + 2x) = -182 6x + (-6 * 7 + 2x * 7) = -182 6x + (-42 + 14x) = -182 Reorder the terms: -42 + 6x + 14x = -182 Combine like terms: 6x + 14x = 20x -42 + 20x = -182 Solving -42 + 20x = -182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 20x = -182 + 42 Combine like terms: -42 + 42 = 0 0 + 20x = -182 + 42 20x = -182 + 42 Combine like terms: -182 + 42 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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