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Simplifying 45 + 0.02x = 50 + 0.3x Solving 45 + 0.02x = 50 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 45 + 0.02x + -0.3x = 50 + 0.3x + -0.3x Combine like terms: 0.02x + -0.3x = -0.28x 45 + -0.28x = 50 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 45 + -0.28x = 50 + 0.0 45 + -0.28x = 50 Add '-45' to each side of the equation. 45 + -45 + -0.28x = 50 + -45 Combine like terms: 45 + -45 = 0 0 + -0.28x = 50 + -45 -0.28x = 50 + -45 Combine like terms: 50 + -45 = 5 -0.28x = 5 Divide each side by '-0.28'. x = -17.85714286 Simplifying x = -17.85714286
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