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Simplifying 11x + 7 = 6x + 42 Reorder the terms: 7 + 11x = 6x + 42 Reorder the terms: 7 + 11x = 42 + 6x Solving 7 + 11x = 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. 7 + 11x + -6x = 42 + 6x + -6x Combine like terms: 11x + -6x = 5x 7 + 5x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 5x = 42 + 0 7 + 5x = 42 Add '-7' to each side of the equation. 7 + -7 + 5x = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 42 + -7 5x = 42 + -7 Combine like terms: 42 + -7 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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