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Simplifying 3x + 500 = 1000 + 5001x + 100 Reorder the terms: 500 + 3x = 1000 + 5001x + 100 Reorder the terms: 500 + 3x = 1000 + 100 + 5001x Combine like terms: 1000 + 100 = 1100 500 + 3x = 1100 + 5001x Solving 500 + 3x = 1100 + 5001x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5001x' to each side of the equation. 500 + 3x + -5001x = 1100 + 5001x + -5001x Combine like terms: 3x + -5001x = -4998x 500 + -4998x = 1100 + 5001x + -5001x Combine like terms: 5001x + -5001x = 0 500 + -4998x = 1100 + 0 500 + -4998x = 1100 Add '-500' to each side of the equation. 500 + -500 + -4998x = 1100 + -500 Combine like terms: 500 + -500 = 0 0 + -4998x = 1100 + -500 -4998x = 1100 + -500 Combine like terms: 1100 + -500 = 600 -4998x = 600 Divide each side by '-4998'. x = -0.1200480192 Simplifying x = -0.1200480192
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