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Simplifying 7.5(3x + -2) = 120 Reorder the terms: 7.5(-2 + 3x) = 120 (-2 * 7.5 + 3x * 7.5) = 120 (-15 + 22.5x) = 120 Solving -15 + 22.5x = 120 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 + 22.5x = 120 + 15 Combine like terms: -15 + 15 = 0 0 + 22.5x = 120 + 15 22.5x = 120 + 15 Combine like terms: 120 + 15 = 135 22.5x = 135 Divide each side by '22.5'. x = 6 Simplifying x = 6
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