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Simplifying 7x + 5(6x + -12) = 162 Reorder the terms: 7x + 5(-12 + 6x) = 162 7x + (-12 * 5 + 6x * 5) = 162 7x + (-60 + 30x) = 162 Reorder the terms: -60 + 7x + 30x = 162 Combine like terms: 7x + 30x = 37x -60 + 37x = 162 Solving -60 + 37x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 37x = 162 + 60 Combine like terms: -60 + 60 = 0 0 + 37x = 162 + 60 37x = 162 + 60 Combine like terms: 162 + 60 = 222 37x = 222 Divide each side by '37'. x = 6 Simplifying x = 6
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