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Simplifying 12x + -78 = 7x + 42 Reorder the terms: -78 + 12x = 7x + 42 Reorder the terms: -78 + 12x = 42 + 7x Solving -78 + 12x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -78 + 12x + -7x = 42 + 7x + -7x Combine like terms: 12x + -7x = 5x -78 + 5x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -78 + 5x = 42 + 0 -78 + 5x = 42 Add '78' to each side of the equation. -78 + 78 + 5x = 42 + 78 Combine like terms: -78 + 78 = 0 0 + 5x = 42 + 78 5x = 42 + 78 Combine like terms: 42 + 78 = 120 5x = 120 Divide each side by '5'. x = 24 Simplifying x = 24
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