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Simplifying 4(x + 200) = 1000 + -4x Reorder the terms: 4(200 + x) = 1000 + -4x (200 * 4 + x * 4) = 1000 + -4x (800 + 4x) = 1000 + -4x Solving 800 + 4x = 1000 + -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 + 4x + 4x = 1000 + -4x + 4x Combine like terms: 4x + 4x = 8x 800 + 8x = 1000 + -4x + 4x Combine like terms: -4x + 4x = 0 800 + 8x = 1000 + 0 800 + 8x = 1000 Add '-800' to each side of the equation. 800 + -800 + 8x = 1000 + -800 Combine like terms: 800 + -800 = 0 0 + 8x = 1000 + -800 8x = 1000 + -800 Combine like terms: 1000 + -800 = 200 8x = 200 Divide each side by '8'. x = 25 Simplifying x = 25
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