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Simplifying 5x + 24 = 2x + 78 Reorder the terms: 24 + 5x = 2x + 78 Reorder the terms: 24 + 5x = 78 + 2x Solving 24 + 5x = 78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 5x + -2x = 78 + 2x + -2x Combine like terms: 5x + -2x = 3x 24 + 3x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 3x = 78 + 0 24 + 3x = 78 Add '-24' to each side of the equation. 24 + -24 + 3x = 78 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 78 + -24 3x = 78 + -24 Combine like terms: 78 + -24 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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