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Simplifying 12x + -5 = 7x + 30 Reorder the terms: -5 + 12x = 7x + 30 Reorder the terms: -5 + 12x = 30 + 7x Solving -5 + 12x = 30 + 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. -5 + 12x + -7x = 30 + 7x + -7x Combine like terms: 12x + -7x = 5x -5 + 5x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 5x = 30 + 0 -5 + 5x = 30 Add '5' to each side of the equation. -5 + 5 + 5x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 30 + 5 5x = 30 + 5 Combine like terms: 30 + 5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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