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Simplifying 400 = 42(x + 42) Reorder the terms: 400 = 42(42 + x) 400 = (42 * 42 + x * 42) 400 = (1764 + 42x) Solving 400 = 1764 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 400 + -42x = 1764 + 42x + -42x Combine like terms: 42x + -42x = 0 400 + -42x = 1764 + 0 400 + -42x = 1764 Add '-400' to each side of the equation. 400 + -400 + -42x = 1764 + -400 Combine like terms: 400 + -400 = 0 0 + -42x = 1764 + -400 -42x = 1764 + -400 Combine like terms: 1764 + -400 = 1364 -42x = 1364 Divide each side by '-42'. x = -32.47619048 Simplifying x = -32.47619048
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