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Simplifying 5(x + -3) + 7x = 45 Reorder the terms: 5(-3 + x) + 7x = 45 (-3 * 5 + x * 5) + 7x = 45 (-15 + 5x) + 7x = 45 Combine like terms: 5x + 7x = 12x -15 + 12x = 45 Solving -15 + 12x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 45 + 15 12x = 45 + 15 Combine like terms: 45 + 15 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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