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Simplifying 177 = 6x + -7(5x + 12) Reorder the terms: 177 = 6x + -7(12 + 5x) 177 = 6x + (12 * -7 + 5x * -7) 177 = 6x + (-84 + -35x) Reorder the terms: 177 = -84 + 6x + -35x Combine like terms: 6x + -35x = -29x 177 = -84 + -29x Solving 177 = -84 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 177 + 29x = -84 + -29x + 29x Combine like terms: -29x + 29x = 0 177 + 29x = -84 + 0 177 + 29x = -84 Add '-177' to each side of the equation. 177 + -177 + 29x = -84 + -177 Combine like terms: 177 + -177 = 0 0 + 29x = -84 + -177 29x = -84 + -177 Combine like terms: -84 + -177 = -261 29x = -261 Divide each side by '29'. x = -9 Simplifying x = -9
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