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Simplifying 12x + 15 = 5x + 1 Reorder the terms: 15 + 12x = 5x + 1 Reorder the terms: 15 + 12x = 1 + 5x Solving 15 + 12x = 1 + 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. 15 + 12x + -5x = 1 + 5x + -5x Combine like terms: 12x + -5x = 7x 15 + 7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 7x = 1 + 0 15 + 7x = 1 Add '-15' to each side of the equation. 15 + -15 + 7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 1 + -15 7x = 1 + -15 Combine like terms: 1 + -15 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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