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Simplifying x * 12 + 21 = x * 5 + 175 Reorder the terms for easier multiplication: 12x + 21 = x * 5 + 175 Reorder the terms: 21 + 12x = x * 5 + 175 Reorder the terms for easier multiplication: 21 + 12x = 5x + 175 Reorder the terms: 21 + 12x = 175 + 5x Solving 21 + 12x = 175 + 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. 21 + 12x + -5x = 175 + 5x + -5x Combine like terms: 12x + -5x = 7x 21 + 7x = 175 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 7x = 175 + 0 21 + 7x = 175 Add '-21' to each side of the equation. 21 + -21 + 7x = 175 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 175 + -21 7x = 175 + -21 Combine like terms: 175 + -21 = 154 7x = 154 Divide each side by '7'. x = 22 Simplifying x = 22
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