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Simplifying -3x + -6(5x + -7) = 177 Reorder the terms: -3x + -6(-7 + 5x) = 177 -3x + (-7 * -6 + 5x * -6) = 177 -3x + (42 + -30x) = 177 Reorder the terms: 42 + -3x + -30x = 177 Combine like terms: -3x + -30x = -33x 42 + -33x = 177 Solving 42 + -33x = 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 + -33x = 177 + -42 Combine like terms: 42 + -42 = 0 0 + -33x = 177 + -42 -33x = 177 + -42 Combine like terms: 177 + -42 = 135 -33x = 135 Divide each side by '-33'. x = -4.090909091 Simplifying x = -4.090909091
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