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Simplifying 9x + -6(3x + -29) = 102 Reorder the terms: 9x + -6(-29 + 3x) = 102 9x + (-29 * -6 + 3x * -6) = 102 9x + (174 + -18x) = 102 Reorder the terms: 174 + 9x + -18x = 102 Combine like terms: 9x + -18x = -9x 174 + -9x = 102 Solving 174 + -9x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-174' to each side of the equation. 174 + -174 + -9x = 102 + -174 Combine like terms: 174 + -174 = 0 0 + -9x = 102 + -174 -9x = 102 + -174 Combine like terms: 102 + -174 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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