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Simplifying 15x + 24 = 80 + 21x + -2 Reorder the terms: 24 + 15x = 80 + 21x + -2 Reorder the terms: 24 + 15x = 80 + -2 + 21x Combine like terms: 80 + -2 = 78 24 + 15x = 78 + 21x Solving 24 + 15x = 78 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 24 + 15x + -21x = 78 + 21x + -21x Combine like terms: 15x + -21x = -6x 24 + -6x = 78 + 21x + -21x Combine like terms: 21x + -21x = 0 24 + -6x = 78 + 0 24 + -6x = 78 Add '-24' to each side of the equation. 24 + -24 + -6x = 78 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 78 + -24 -6x = 78 + -24 Combine like terms: 78 + -24 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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