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Simplifying 12x + -78 + 12 = 7x + 34 Reorder the terms: -78 + 12 + 12x = 7x + 34 Combine like terms: -78 + 12 = -66 -66 + 12x = 7x + 34 Reorder the terms: -66 + 12x = 34 + 7x Solving -66 + 12x = 34 + 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. -66 + 12x + -7x = 34 + 7x + -7x Combine like terms: 12x + -7x = 5x -66 + 5x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 -66 + 5x = 34 + 0 -66 + 5x = 34 Add '66' to each side of the equation. -66 + 66 + 5x = 34 + 66 Combine like terms: -66 + 66 = 0 0 + 5x = 34 + 66 5x = 34 + 66 Combine like terms: 34 + 66 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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