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Simplifying x * 2 + -1000 + 2x + -1000 * 2x + -1000 * 2x + -1000 = 0 Reorder the terms for easier multiplication: 2x + -1000 + 2x + -1000 * 2x + -1000 * 2x + -1000 = 0 Multiply -1000 * 2 2x + -1000 + 2x + -2000x + -1000 * 2x + -1000 = 0 Multiply -1000 * 2 2x + -1000 + 2x + -2000x + -2000x + -1000 = 0 Reorder the terms: -1000 + -1000 + 2x + 2x + -2000x + -2000x = 0 Combine like terms: -1000 + -1000 = -2000 -2000 + 2x + 2x + -2000x + -2000x = 0 Combine like terms: 2x + 2x = 4x -2000 + 4x + -2000x + -2000x = 0 Combine like terms: 4x + -2000x = -1996x -2000 + -1996x + -2000x = 0 Combine like terms: -1996x + -2000x = -3996x -2000 + -3996x = 0 Solving -2000 + -3996x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2000' to each side of the equation. -2000 + 2000 + -3996x = 0 + 2000 Combine like terms: -2000 + 2000 = 0 0 + -3996x = 0 + 2000 -3996x = 0 + 2000 Combine like terms: 0 + 2000 = 2000 -3996x = 2000 Divide each side by '-3996'. x = -0.5005005005 Simplifying x = -0.5005005005
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