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Simplifying 4x + 3(x + -20) = 409 Reorder the terms: 4x + 3(-20 + x) = 409 4x + (-20 * 3 + x * 3) = 409 4x + (-60 + 3x) = 409 Reorder the terms: -60 + 4x + 3x = 409 Combine like terms: 4x + 3x = 7x -60 + 7x = 409 Solving -60 + 7x = 409 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 + 7x = 409 + 60 Combine like terms: -60 + 60 = 0 0 + 7x = 409 + 60 7x = 409 + 60 Combine like terms: 409 + 60 = 469 7x = 469 Divide each side by '7'. x = 67 Simplifying x = 67
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