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Simplifying 5(6x + -8) = 10 + 5x Reorder the terms: 5(-8 + 6x) = 10 + 5x (-8 * 5 + 6x * 5) = 10 + 5x (-40 + 30x) = 10 + 5x Solving -40 + 30x = 10 + 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 + 30x + -5x = 10 + 5x + -5x Combine like terms: 30x + -5x = 25x -40 + 25x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 25x = 10 + 0 -40 + 25x = 10 Add '40' to each side of the equation. -40 + 40 + 25x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 25x = 10 + 40 25x = 10 + 40 Combine like terms: 10 + 40 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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