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Simplifying 7x + 7(4x + -9) = 182 Reorder the terms: 7x + 7(-9 + 4x) = 182 7x + (-9 * 7 + 4x * 7) = 182 7x + (-63 + 28x) = 182 Reorder the terms: -63 + 7x + 28x = 182 Combine like terms: 7x + 28x = 35x -63 + 35x = 182 Solving -63 + 35x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 35x = 182 + 63 Combine like terms: -63 + 63 = 0 0 + 35x = 182 + 63 35x = 182 + 63 Combine like terms: 182 + 63 = 245 35x = 245 Divide each side by '35'. x = 7 Simplifying x = 7
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