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Simplifying 11x + 42 = 5x + 12 Reorder the terms: 42 + 11x = 5x + 12 Reorder the terms: 42 + 11x = 12 + 5x Solving 42 + 11x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + 11x + -5x = 12 + 5x + -5x Combine like terms: 11x + -5x = 6x 42 + 6x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 6x = 12 + 0 42 + 6x = 12 Add '-42' to each side of the equation. 42 + -42 + 6x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 12 + -42 6x = 12 + -42 Combine like terms: 12 + -42 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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