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Simplifying 12x + 6 = 6x + 42 Reorder the terms: 6 + 12x = 6x + 42 Reorder the terms: 6 + 12x = 42 + 6x Solving 6 + 12x = 42 + 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. 6 + 12x + -6x = 42 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = 42 + 0 6 + 6x = 42 Add '-6' to each side of the equation. 6 + -6 + 6x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 42 + -6 6x = 42 + -6 Combine like terms: 42 + -6 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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