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Simplifying 12x + -15 = 7x + 10 Reorder the terms: -15 + 12x = 7x + 10 Reorder the terms: -15 + 12x = 10 + 7x Solving -15 + 12x = 10 + 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 = 10 + 7x + -7x Combine like terms: 12x + -7x = 5x -15 + 5x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 5x = 10 + 0 -15 + 5x = 10 Add '15' to each side of the equation. -15 + 15 + 5x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 10 + 15 5x = 10 + 15 Combine like terms: 10 + 15 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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