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Simplifying 5(x + -40) = 30 + -5x Reorder the terms: 5(-40 + x) = 30 + -5x (-40 * 5 + x * 5) = 30 + -5x (-200 + 5x) = 30 + -5x Solving -200 + 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. -200 + 5x + 5x = 30 + -5x + 5x Combine like terms: 5x + 5x = 10x -200 + 10x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -200 + 10x = 30 + 0 -200 + 10x = 30 Add '200' to each side of the equation. -200 + 200 + 10x = 30 + 200 Combine like terms: -200 + 200 = 0 0 + 10x = 30 + 200 10x = 30 + 200 Combine like terms: 30 + 200 = 230 10x = 230 Divide each side by '10'. x = 23 Simplifying x = 23
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