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Simplifying 7(9x + -2) + 3(4 + x) = 394 Reorder the terms: 7(-2 + 9x) + 3(4 + x) = 394 (-2 * 7 + 9x * 7) + 3(4 + x) = 394 (-14 + 63x) + 3(4 + x) = 394 -14 + 63x + (4 * 3 + x * 3) = 394 -14 + 63x + (12 + 3x) = 394 Reorder the terms: -14 + 12 + 63x + 3x = 394 Combine like terms: -14 + 12 = -2 -2 + 63x + 3x = 394 Combine like terms: 63x + 3x = 66x -2 + 66x = 394 Solving -2 + 66x = 394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 66x = 394 + 2 Combine like terms: -2 + 2 = 0 0 + 66x = 394 + 2 66x = 394 + 2 Combine like terms: 394 + 2 = 396 66x = 396 Divide each side by '66'. x = 6 Simplifying x = 6
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