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Simplifying 12x + 15 = 7x + 5 Reorder the terms: 15 + 12x = 7x + 5 Reorder the terms: 15 + 12x = 5 + 7x Solving 15 + 12x = 5 + 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. 15 + 12x + -7x = 5 + 7x + -7x Combine like terms: 12x + -7x = 5x 15 + 5x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 5x = 5 + 0 15 + 5x = 5 Add '-15' to each side of the equation. 15 + -15 + 5x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 5 + -15 5x = 5 + -15 Combine like terms: 5 + -15 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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