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Simplifying 0.03x + -0.04 = 0.02x + 6 Reorder the terms: -0.04 + 0.03x = 0.02x + 6 Reorder the terms: -0.04 + 0.03x = 6 + 0.02x Solving -0.04 + 0.03x = 6 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.04 + 0.03x + -0.02x = 6 + 0.02x + -0.02x Combine like terms: 0.03x + -0.02x = 0.01x -0.04 + 0.01x = 6 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.04 + 0.01x = 6 + 0.00 -0.04 + 0.01x = 6 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.01x = 6 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.01x = 6 + 0.04 0.01x = 6 + 0.04 Combine like terms: 6 + 0.04 = 6.04 0.01x = 6.04 Divide each side by '0.01'. x = 604 Simplifying x = 604
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