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Simplifying -7x + 6(-2x + 17) = -126 Reorder the terms: -7x + 6(17 + -2x) = -126 -7x + (17 * 6 + -2x * 6) = -126 -7x + (102 + -12x) = -126 Reorder the terms: 102 + -7x + -12x = -126 Combine like terms: -7x + -12x = -19x 102 + -19x = -126 Solving 102 + -19x = -126 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -19x = -126 + -102 Combine like terms: 102 + -102 = 0 0 + -19x = -126 + -102 -19x = -126 + -102 Combine like terms: -126 + -102 = -228 -19x = -228 Divide each side by '-19'. x = 12 Simplifying x = 12
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