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Simplifying 11x + -4(100 + x) = 48 11x + (100 * -4 + x * -4) = 48 11x + (-400 + -4x) = 48 Reorder the terms: -400 + 11x + -4x = 48 Combine like terms: 11x + -4x = 7x -400 + 7x = 48 Solving -400 + 7x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + 7x = 48 + 400 Combine like terms: -400 + 400 = 0 0 + 7x = 48 + 400 7x = 48 + 400 Combine like terms: 48 + 400 = 448 7x = 448 Divide each side by '7'. x = 64 Simplifying x = 64
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