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Simplifying 14x + 12 = 7x + 47 Reorder the terms: 12 + 14x = 7x + 47 Reorder the terms: 12 + 14x = 47 + 7x Solving 12 + 14x = 47 + 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. 12 + 14x + -7x = 47 + 7x + -7x Combine like terms: 14x + -7x = 7x 12 + 7x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 7x = 47 + 0 12 + 7x = 47 Add '-12' to each side of the equation. 12 + -12 + 7x = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 47 + -12 7x = 47 + -12 Combine like terms: 47 + -12 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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