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