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Simplifying 12x + -175 = 5x + -14 Reorder the terms: -175 + 12x = 5x + -14 Reorder the terms: -175 + 12x = -14 + 5x Solving -175 + 12x = -14 + 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. -175 + 12x + -5x = -14 + 5x + -5x Combine like terms: 12x + -5x = 7x -175 + 7x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -175 + 7x = -14 + 0 -175 + 7x = -14 Add '175' to each side of the equation. -175 + 175 + 7x = -14 + 175 Combine like terms: -175 + 175 = 0 0 + 7x = -14 + 175 7x = -14 + 175 Combine like terms: -14 + 175 = 161 7x = 161 Divide each side by '7'. x = 23 Simplifying x = 23
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