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Simplifying -6x + 7(3x + -6) = -177 Reorder the terms: -6x + 7(-6 + 3x) = -177 -6x + (-6 * 7 + 3x * 7) = -177 -6x + (-42 + 21x) = -177 Reorder the terms: -42 + -6x + 21x = -177 Combine like terms: -6x + 21x = 15x -42 + 15x = -177 Solving -42 + 15x = -177 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 + 15x = -177 + 42 Combine like terms: -42 + 42 = 0 0 + 15x = -177 + 42 15x = -177 + 42 Combine like terms: -177 + 42 = -135 15x = -135 Divide each side by '15'. x = -9 Simplifying x = -9
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