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Simplifying 14x + 6 = 7x + 41 Reorder the terms: 6 + 14x = 7x + 41 Reorder the terms: 6 + 14x = 41 + 7x Solving 6 + 14x = 41 + 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. 6 + 14x + -7x = 41 + 7x + -7x Combine like terms: 14x + -7x = 7x 6 + 7x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 7x = 41 + 0 6 + 7x = 41 Add '-6' to each side of the equation. 6 + -6 + 7x = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 41 + -6 7x = 41 + -6 Combine like terms: 41 + -6 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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