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Simplifying 14x + 9 = 7x + 42 Reorder the terms: 9 + 14x = 7x + 42 Reorder the terms: 9 + 14x = 42 + 7x Solving 9 + 14x = 42 + 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. 9 + 14x + -7x = 42 + 7x + -7x Combine like terms: 14x + -7x = 7x 9 + 7x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 7x = 42 + 0 9 + 7x = 42 Add '-9' to each side of the equation. 9 + -9 + 7x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 42 + -9 7x = 42 + -9 Combine like terms: 42 + -9 = 33 7x = 33 Divide each side by '7'. x = 4.714285714 Simplifying x = 4.714285714
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