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Simplifying 100x + -0.66 = 500x + 0.78 Reorder the terms: -0.66 + 100x = 500x + 0.78 Reorder the terms: -0.66 + 100x = 0.78 + 500x Solving -0.66 + 100x = 0.78 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. -0.66 + 100x + -500x = 0.78 + 500x + -500x Combine like terms: 100x + -500x = -400x -0.66 + -400x = 0.78 + 500x + -500x Combine like terms: 500x + -500x = 0 -0.66 + -400x = 0.78 + 0 -0.66 + -400x = 0.78 Add '0.66' to each side of the equation. -0.66 + 0.66 + -400x = 0.78 + 0.66 Combine like terms: -0.66 + 0.66 = 0.00 0.00 + -400x = 0.78 + 0.66 -400x = 0.78 + 0.66 Combine like terms: 0.78 + 0.66 = 1.44 -400x = 1.44 Divide each side by '-400'. x = -0.0036 Simplifying x = -0.0036
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