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Simplifying 14x + 6 = 7x + 13 Reorder the terms: 6 + 14x = 7x + 13 Reorder the terms: 6 + 14x = 13 + 7x Solving 6 + 14x = 13 + 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 = 13 + 7x + -7x Combine like terms: 14x + -7x = 7x 6 + 7x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 7x = 13 + 0 6 + 7x = 13 Add '-6' to each side of the equation. 6 + -6 + 7x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 13 + -6 7x = 13 + -6 Combine like terms: 13 + -6 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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