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Simplifying 40(30x + -100) + x = 40 Reorder the terms: 40(-100 + 30x) + x = 40 (-100 * 40 + 30x * 40) + x = 40 (-4000 + 1200x) + x = 40 Combine like terms: 1200x + x = 1201x -4000 + 1201x = 40 Solving -4000 + 1201x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4000' to each side of the equation. -4000 + 4000 + 1201x = 40 + 4000 Combine like terms: -4000 + 4000 = 0 0 + 1201x = 40 + 4000 1201x = 40 + 4000 Combine like terms: 40 + 4000 = 4040 1201x = 4040 Divide each side by '1201'. x = 3.363863447 Simplifying x = 3.363863447
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