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Simplifying 9(7x + -2) + 14(7x + -2) = 437 Reorder the terms: 9(-2 + 7x) + 14(7x + -2) = 437 (-2 * 9 + 7x * 9) + 14(7x + -2) = 437 (-18 + 63x) + 14(7x + -2) = 437 Reorder the terms: -18 + 63x + 14(-2 + 7x) = 437 -18 + 63x + (-2 * 14 + 7x * 14) = 437 -18 + 63x + (-28 + 98x) = 437 Reorder the terms: -18 + -28 + 63x + 98x = 437 Combine like terms: -18 + -28 = -46 -46 + 63x + 98x = 437 Combine like terms: 63x + 98x = 161x -46 + 161x = 437 Solving -46 + 161x = 437 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 + 161x = 437 + 46 Combine like terms: -46 + 46 = 0 0 + 161x = 437 + 46 161x = 437 + 46 Combine like terms: 437 + 46 = 483 161x = 483 Divide each side by '161'. x = 3 Simplifying x = 3
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