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Simplifying 3(21x + 17) = 26(-9 + 2x) Reorder the terms: 3(17 + 21x) = 26(-9 + 2x) (17 * 3 + 21x * 3) = 26(-9 + 2x) (51 + 63x) = 26(-9 + 2x) 51 + 63x = (-9 * 26 + 2x * 26) 51 + 63x = (-234 + 52x) Solving 51 + 63x = -234 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 51 + 63x + -52x = -234 + 52x + -52x Combine like terms: 63x + -52x = 11x 51 + 11x = -234 + 52x + -52x Combine like terms: 52x + -52x = 0 51 + 11x = -234 + 0 51 + 11x = -234 Add '-51' to each side of the equation. 51 + -51 + 11x = -234 + -51 Combine like terms: 51 + -51 = 0 0 + 11x = -234 + -51 11x = -234 + -51 Combine like terms: -234 + -51 = -285 11x = -285 Divide each side by '11'. x = -25.90909091 Simplifying x = -25.90909091
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