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Simplifying 3x + -5(100 + -3x) = 400 3x + (100 * -5 + -3x * -5) = 400 3x + (-500 + 15x) = 400 Reorder the terms: -500 + 3x + 15x = 400 Combine like terms: 3x + 15x = 18x -500 + 18x = 400 Solving -500 + 18x = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + 18x = 400 + 500 Combine like terms: -500 + 500 = 0 0 + 18x = 400 + 500 18x = 400 + 500 Combine like terms: 400 + 500 = 900 18x = 900 Divide each side by '18'. x = 50 Simplifying x = 50
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