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Simplifying (2(7) + -1)(3(7) + 2) = x + 292 Multiply 2 * 7 (14 + -1)(3(7) + 2) = x + 292 Combine like terms: 14 + -1 = 13 (13)(3(7) + 2) = x + 292 Multiply 3 * 7 13(21 + 2) = x + 292 Combine like terms: 21 + 2 = 23 13(23) = x + 292 Multiply 13 * 23 299 = x + 292 Reorder the terms: 299 = 292 + x Solving 299 = 292 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 299 + -1x = 292 + x + -1x Combine like terms: x + -1x = 0 299 + -1x = 292 + 0 299 + -1x = 292 Add '-299' to each side of the equation. 299 + -299 + -1x = 292 + -299 Combine like terms: 299 + -299 = 0 0 + -1x = 292 + -299 -1x = 292 + -299 Combine like terms: 292 + -299 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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