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Simplifying 500x + 10 = 600x + -10 Reorder the terms: 10 + 500x = 600x + -10 Reorder the terms: 10 + 500x = -10 + 600x Solving 10 + 500x = -10 + 600x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-600x' to each side of the equation. 10 + 500x + -600x = -10 + 600x + -600x Combine like terms: 500x + -600x = -100x 10 + -100x = -10 + 600x + -600x Combine like terms: 600x + -600x = 0 10 + -100x = -10 + 0 10 + -100x = -10 Add '-10' to each side of the equation. 10 + -10 + -100x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -100x = -10 + -10 -100x = -10 + -10 Combine like terms: -10 + -10 = -20 -100x = -20 Divide each side by '-100'. x = 0.2 Simplifying x = 0.2
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