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Simplifying -7 + 14x = 44 + 7x + -2 Reorder the terms: -7 + 14x = 44 + -2 + 7x Combine like terms: 44 + -2 = 42 -7 + 14x = 42 + 7x Solving -7 + 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. -7 + 14x + -7x = 42 + 7x + -7x Combine like terms: 14x + -7x = 7x -7 + 7x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 7x = 42 + 0 -7 + 7x = 42 Add '7' to each side of the equation. -7 + 7 + 7x = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 42 + 7 7x = 42 + 7 Combine like terms: 42 + 7 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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