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Simplifying 2(x + 400) = 4x Reorder the terms: 2(400 + x) = 4x (400 * 2 + x * 2) = 4x (800 + 2x) = 4x Solving 800 + 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 800 + 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x 800 + -2x = 4x + -4x Combine like terms: 4x + -4x = 0 800 + -2x = 0 Add '-800' to each side of the equation. 800 + -800 + -2x = 0 + -800 Combine like terms: 800 + -800 = 0 0 + -2x = 0 + -800 -2x = 0 + -800 Combine like terms: 0 + -800 = -800 -2x = -800 Divide each side by '-2'. x = 400 Simplifying x = 400
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