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Simplifying 100x + -0.52 = 300x + 0.46 Reorder the terms: -0.52 + 100x = 300x + 0.46 Reorder the terms: -0.52 + 100x = 0.46 + 300x Solving -0.52 + 100x = 0.46 + 300x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300x' to each side of the equation. -0.52 + 100x + -300x = 0.46 + 300x + -300x Combine like terms: 100x + -300x = -200x -0.52 + -200x = 0.46 + 300x + -300x Combine like terms: 300x + -300x = 0 -0.52 + -200x = 0.46 + 0 -0.52 + -200x = 0.46 Add '0.52' to each side of the equation. -0.52 + 0.52 + -200x = 0.46 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + -200x = 0.46 + 0.52 -200x = 0.46 + 0.52 Combine like terms: 0.46 + 0.52 = 0.98 -200x = 0.98 Divide each side by '-200'. x = -0.0049 Simplifying x = -0.0049
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