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Simplifying 7x + 15 = 12x + 5 Reorder the terms: 15 + 7x = 12x + 5 Reorder the terms: 15 + 7x = 5 + 12x Solving 15 + 7x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 7x + -12x = 5 + 12x + -12x Combine like terms: 7x + -12x = -5x 15 + -5x = 5 + 12x + -12x Combine like terms: 12x + -12x = 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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