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Simplifying 7x + 48 = 21x + -78 Reorder the terms: 48 + 7x = 21x + -78 Reorder the terms: 48 + 7x = -78 + 21x Solving 48 + 7x = -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. 48 + 7x + -21x = -78 + 21x + -21x Combine like terms: 7x + -21x = -14x 48 + -14x = -78 + 21x + -21x Combine like terms: 21x + -21x = 0 48 + -14x = -78 + 0 48 + -14x = -78 Add '-48' to each side of the equation. 48 + -48 + -14x = -78 + -48 Combine like terms: 48 + -48 = 0 0 + -14x = -78 + -48 -14x = -78 + -48 Combine like terms: -78 + -48 = -126 -14x = -126 Divide each side by '-14'. x = 9 Simplifying x = 9
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