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Simplifying 78x(21 + -1)(21 + 1) = x(51 + -17)(51 + 17) Combine like terms: 21 + -1 = 20 78x(20)(21 + 1) = x(51 + -17)(51 + 17) Combine like terms: 21 + 1 = 22 78x * 20(22) = x(51 + -17)(51 + 17) Reorder the terms for easier multiplication: 78 * 20 * 22x = x(51 + -17)(51 + 17) Multiply 78 * 20 1560 * 22x = x(51 + -17)(51 + 17) Multiply 1560 * 22 34320x = x(51 + -17)(51 + 17) Combine like terms: 51 + -17 = 34 34320x = x(34)(51 + 17) Combine like terms: 51 + 17 = 68 34320x = x * 34(68) Reorder the terms for easier multiplication: 34320x = 34 * 68x Multiply 34 * 68 34320x = 2312x Solving 34320x = 2312x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2312x' to each side of the equation. 34320x + -2312x = 2312x + -2312x Combine like terms: 34320x + -2312x = 32008x 32008x = 2312x + -2312x Combine like terms: 2312x + -2312x = 0 32008x = 0 Divide each side by '32008'. x = 0 Simplifying x = 0
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