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Simplifying -177 = -5x + 2(-7x + 16) Reorder the terms: -177 = -5x + 2(16 + -7x) -177 = -5x + (16 * 2 + -7x * 2) -177 = -5x + (32 + -14x) Reorder the terms: -177 = 32 + -5x + -14x Combine like terms: -5x + -14x = -19x -177 = 32 + -19x Solving -177 = 32 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -177 + 19x = 32 + -19x + 19x Combine like terms: -19x + 19x = 0 -177 + 19x = 32 + 0 -177 + 19x = 32 Add '177' to each side of the equation. -177 + 177 + 19x = 32 + 177 Combine like terms: -177 + 177 = 0 0 + 19x = 32 + 177 19x = 32 + 177 Combine like terms: 32 + 177 = 209 19x = 209 Divide each side by '19'. x = 11 Simplifying x = 11
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