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Simplifying (39 + -1x)(39 + -1x) = (33 + -1x)(39 + -1x) Multiply (39 + -1x) * (39 + -1x) (39(39 + -1x) + -1x * (39 + -1x)) = (33 + -1x)(39 + -1x) ((39 * 39 + -1x * 39) + -1x * (39 + -1x)) = (33 + -1x)(39 + -1x) ((1521 + -39x) + -1x * (39 + -1x)) = (33 + -1x)(39 + -1x) (1521 + -39x + (39 * -1x + -1x * -1x)) = (33 + -1x)(39 + -1x) (1521 + -39x + (-39x + 1x2)) = (33 + -1x)(39 + -1x) Combine like terms: -39x + -39x = -78x (1521 + -78x + 1x2) = (33 + -1x)(39 + -1x) Multiply (33 + -1x) * (39 + -1x) 1521 + -78x + 1x2 = (33(39 + -1x) + -1x * (39 + -1x)) 1521 + -78x + 1x2 = ((39 * 33 + -1x * 33) + -1x * (39 + -1x)) 1521 + -78x + 1x2 = ((1287 + -33x) + -1x * (39 + -1x)) 1521 + -78x + 1x2 = (1287 + -33x + (39 * -1x + -1x * -1x)) 1521 + -78x + 1x2 = (1287 + -33x + (-39x + 1x2)) Combine like terms: -33x + -39x = -72x 1521 + -78x + 1x2 = (1287 + -72x + 1x2) Add '-1x2' to each side of the equation. 1521 + -78x + 1x2 + -1x2 = 1287 + -72x + 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 1521 + -78x + 0 = 1287 + -72x + 1x2 + -1x2 1521 + -78x = 1287 + -72x + 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 1521 + -78x = 1287 + -72x + 0 1521 + -78x = 1287 + -72x Solving 1521 + -78x = 1287 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. 1521 + -78x + 72x = 1287 + -72x + 72x Combine like terms: -78x + 72x = -6x 1521 + -6x = 1287 + -72x + 72x Combine like terms: -72x + 72x = 0 1521 + -6x = 1287 + 0 1521 + -6x = 1287 Add '-1521' to each side of the equation. 1521 + -1521 + -6x = 1287 + -1521 Combine like terms: 1521 + -1521 = 0 0 + -6x = 1287 + -1521 -6x = 1287 + -1521 Combine like terms: 1287 + -1521 = -234 -6x = -234 Divide each side by '-6'. x = 39 Simplifying x = 39
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