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Simplifying 4(7x + -9) + 6 = 82 Reorder the terms: 4(-9 + 7x) + 6 = 82 (-9 * 4 + 7x * 4) + 6 = 82 (-36 + 28x) + 6 = 82 Reorder the terms: -36 + 6 + 28x = 82 Combine like terms: -36 + 6 = -30 -30 + 28x = 82 Solving -30 + 28x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 28x = 82 + 30 Combine like terms: -30 + 30 = 0 0 + 28x = 82 + 30 28x = 82 + 30 Combine like terms: 82 + 30 = 112 28x = 112 Divide each side by '28'. x = 4 Simplifying x = 4
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