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Simplifying 14x + -7 = 5x + 38 Reorder the terms: -7 + 14x = 5x + 38 Reorder the terms: -7 + 14x = 38 + 5x Solving -7 + 14x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 14x + -5x = 38 + 5x + -5x Combine like terms: 14x + -5x = 9x -7 + 9x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 9x = 38 + 0 -7 + 9x = 38 Add '7' to each side of the equation. -7 + 7 + 9x = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 38 + 7 9x = 38 + 7 Combine like terms: 38 + 7 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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