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Simplifying 12x + 5 = 7x + -35 Reorder the terms: 5 + 12x = 7x + -35 Reorder the terms: 5 + 12x = -35 + 7x Solving 5 + 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. 5 + 12x + -7x = -35 + 7x + -7x Combine like terms: 12x + -7x = 5x 5 + 5x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 5x = -35 + 0 5 + 5x = -35 Add '-5' to each side of the equation. 5 + -5 + 5x = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -35 + -5 5x = -35 + -5 Combine like terms: -35 + -5 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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