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Simplifying x + -200 = 100x + -300 Reorder the terms: -200 + x = 100x + -300 Reorder the terms: -200 + x = -300 + 100x Solving -200 + x = -300 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -200 + x + -100x = -300 + 100x + -100x Combine like terms: x + -100x = -99x -200 + -99x = -300 + 100x + -100x Combine like terms: 100x + -100x = 0 -200 + -99x = -300 + 0 -200 + -99x = -300 Add '200' to each side of the equation. -200 + 200 + -99x = -300 + 200 Combine like terms: -200 + 200 = 0 0 + -99x = -300 + 200 -99x = -300 + 200 Combine like terms: -300 + 200 = -100 -99x = -100 Divide each side by '-99'. x = 1.01010101 Simplifying x = 1.01010101
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