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Simplifying 5(x + -6) = -5x + 30 Reorder the terms: 5(-6 + x) = -5x + 30 (-6 * 5 + x * 5) = -5x + 30 (-30 + 5x) = -5x + 30 Reorder the terms: -30 + 5x = 30 + -5x Solving -30 + 5x = 30 + -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. -30 + 5x + 5x = 30 + -5x + 5x Combine like terms: 5x + 5x = 10x -30 + 10x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 10x = 30 + 0 -30 + 10x = 30 Add '30' to each side of the equation. -30 + 30 + 10x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 30 + 30 10x = 30 + 30 Combine like terms: 30 + 30 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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