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Simplifying 12x + 5 = 6x + 35 Reorder the terms: 5 + 12x = 6x + 35 Reorder the terms: 5 + 12x = 35 + 6x Solving 5 + 12x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 12x + -6x = 35 + 6x + -6x Combine like terms: 12x + -6x = 6x 5 + 6x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 6x = 35 + 0 5 + 6x = 35 Add '-5' to each side of the equation. 5 + -5 + 6x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 35 + -5 6x = 35 + -5 Combine like terms: 35 + -5 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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