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Simplifying 7x + 5(6x + -8) = 182 Reorder the terms: 7x + 5(-8 + 6x) = 182 7x + (-8 * 5 + 6x * 5) = 182 7x + (-40 + 30x) = 182 Reorder the terms: -40 + 7x + 30x = 182 Combine like terms: 7x + 30x = 37x -40 + 37x = 182 Solving -40 + 37x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 37x = 182 + 40 Combine like terms: -40 + 40 = 0 0 + 37x = 182 + 40 37x = 182 + 40 Combine like terms: 182 + 40 = 222 37x = 222 Divide each side by '37'. x = 6 Simplifying x = 6
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