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Simplifying 5(7x + -8) = 40 + -5x Reorder the terms: 5(-8 + 7x) = 40 + -5x (-8 * 5 + 7x * 5) = 40 + -5x (-40 + 35x) = 40 + -5x Solving -40 + 35x = 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. -40 + 35x + 5x = 40 + -5x + 5x Combine like terms: 35x + 5x = 40x -40 + 40x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + 40x = 40 + 0 -40 + 40x = 40 Add '40' to each side of the equation. -40 + 40 + 40x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 40x = 40 + 40 40x = 40 + 40 Combine like terms: 40 + 40 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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