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Simplifying 3x + 24 = -3x + 78 Reorder the terms: 24 + 3x = -3x + 78 Reorder the terms: 24 + 3x = 78 + -3x Solving 24 + 3x = 78 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 3x + 3x = 78 + -3x + 3x Combine like terms: 3x + 3x = 6x 24 + 6x = 78 + -3x + 3x Combine like terms: -3x + 3x = 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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