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Simplifying -4.2 + 0.02x + -0.4 = 0.03x Reorder the terms: -4.2 + -0.4 + 0.02x = 0.03x Combine like terms: -4.2 + -0.4 = -4.6 -4.6 + 0.02x = 0.03x Solving -4.6 + 0.02x = 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -4.6 + 0.02x + -0.03x = 0.03x + -0.03x Combine like terms: 0.02x + -0.03x = -0.01x -4.6 + -0.01x = 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -4.6 + -0.01x = 0.00 Add '4.6' to each side of the equation. -4.6 + 4.6 + -0.01x = 0.00 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -0.01x = 0.00 + 4.6 -0.01x = 0.00 + 4.6 Combine like terms: 0.00 + 4.6 = 4.6 -0.01x = 4.6 Divide each side by '-0.01'. x = -460 Simplifying x = -460
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