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Simplifying 5(x + -3) = 45 + -5x Reorder the terms: 5(-3 + x) = 45 + -5x (-3 * 5 + x * 5) = 45 + -5x (-15 + 5x) = 45 + -5x Solving -15 + 5x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + 5x + 5x = 45 + -5x + 5x Combine like terms: 5x + 5x = 10x -15 + 10x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 10x = 45 + 0 -15 + 10x = 45 Add '15' to each side of the equation. -15 + 15 + 10x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 45 + 15 10x = 45 + 15 Combine like terms: 45 + 15 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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