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Simplifying 10x + 24 = 51x + 412 Reorder the terms: 24 + 10x = 51x + 412 Reorder the terms: 24 + 10x = 412 + 51x Solving 24 + 10x = 412 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 24 + 10x + -51x = 412 + 51x + -51x Combine like terms: 10x + -51x = -41x 24 + -41x = 412 + 51x + -51x Combine like terms: 51x + -51x = 0 24 + -41x = 412 + 0 24 + -41x = 412 Add '-24' to each side of the equation. 24 + -24 + -41x = 412 + -24 Combine like terms: 24 + -24 = 0 0 + -41x = 412 + -24 -41x = 412 + -24 Combine like terms: 412 + -24 = 388 -41x = 388 Divide each side by '-41'. x = -9.463414634 Simplifying x = -9.463414634
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