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Simplifying 7x + -6 + 5(x + -8) = 14 Reorder the terms: 7x + -6 + 5(-8 + x) = 14 7x + -6 + (-8 * 5 + x * 5) = 14 7x + -6 + (-40 + 5x) = 14 Reorder the terms: -6 + -40 + 7x + 5x = 14 Combine like terms: -6 + -40 = -46 -46 + 7x + 5x = 14 Combine like terms: 7x + 5x = 12x -46 + 12x = 14 Solving -46 + 12x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 12x = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 12x = 14 + 46 12x = 14 + 46 Combine like terms: 14 + 46 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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