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Simplifying 5(x + -6) = 40 + -5x Reorder the terms: 5(-6 + x) = 40 + -5x (-6 * 5 + x * 5) = 40 + -5x (-30 + 5x) = 40 + -5x Solving -30 + 5x = 40 + -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 = 40 + -5x + 5x Combine like terms: 5x + 5x = 10x -30 + 10x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 10x = 40 + 0 -30 + 10x = 40 Add '30' to each side of the equation. -30 + 30 + 10x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 40 + 30 10x = 40 + 30 Combine like terms: 40 + 30 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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