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Simplifying 12x + -30 = 7x + 35 Reorder the terms: -30 + 12x = 7x + 35 Reorder the terms: -30 + 12x = 35 + 7x Solving -30 + 12x = 35 + 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. -30 + 12x + -7x = 35 + 7x + -7x Combine like terms: 12x + -7x = 5x -30 + 5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 5x = 35 + 0 -30 + 5x = 35 Add '30' to each side of the equation. -30 + 30 + 5x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 35 + 30 5x = 35 + 30 Combine like terms: 35 + 30 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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