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Simplifying 500x + -0.29 = 900x + 0.11 Reorder the terms: -0.29 + 500x = 900x + 0.11 Reorder the terms: -0.29 + 500x = 0.11 + 900x Solving -0.29 + 500x = 0.11 + 900x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-900x' to each side of the equation. -0.29 + 500x + -900x = 0.11 + 900x + -900x Combine like terms: 500x + -900x = -400x -0.29 + -400x = 0.11 + 900x + -900x Combine like terms: 900x + -900x = 0 -0.29 + -400x = 0.11 + 0 -0.29 + -400x = 0.11 Add '0.29' to each side of the equation. -0.29 + 0.29 + -400x = 0.11 + 0.29 Combine like terms: -0.29 + 0.29 = 0.00 0.00 + -400x = 0.11 + 0.29 -400x = 0.11 + 0.29 Combine like terms: 0.11 + 0.29 = 0.4 -400x = 0.4 Divide each side by '-400'. x = -0.001 Simplifying x = -0.001
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