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Simplifying 5(2x + -8) = 5x + 40 Reorder the terms: 5(-8 + 2x) = 5x + 40 (-8 * 5 + 2x * 5) = 5x + 40 (-40 + 10x) = 5x + 40 Reorder the terms: -40 + 10x = 40 + 5x Solving -40 + 10x = 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 + 10x + -5x = 40 + 5x + -5x Combine like terms: 10x + -5x = 5x -40 + 5x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 5x = 40 + 0 -40 + 5x = 40 Add '40' to each side of the equation. -40 + 40 + 5x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = 40 + 40 5x = 40 + 40 Combine like terms: 40 + 40 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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