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Simplifying 5(3x + -6) = 45 Reorder the terms: 5(-6 + 3x) = 45 (-6 * 5 + 3x * 5) = 45 (-30 + 15x) = 45 Solving -30 + 15x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 15x = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = 45 + 30 15x = 45 + 30 Combine like terms: 45 + 30 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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