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Simplifying 0.3x + 0.4 = 0.28x + 1.16 Reorder the terms: 0.4 + 0.3x = 0.28x + 1.16 Reorder the terms: 0.4 + 0.3x = 1.16 + 0.28x Solving 0.4 + 0.3x = 1.16 + 0.28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.28x' to each side of the equation. 0.4 + 0.3x + -0.28x = 1.16 + 0.28x + -0.28x Combine like terms: 0.3x + -0.28x = 0.02x 0.4 + 0.02x = 1.16 + 0.28x + -0.28x Combine like terms: 0.28x + -0.28x = 0.00 0.4 + 0.02x = 1.16 + 0.00 0.4 + 0.02x = 1.16 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.02x = 1.16 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.02x = 1.16 + -0.4 0.02x = 1.16 + -0.4 Combine like terms: 1.16 + -0.4 = 0.76 0.02x = 0.76 Divide each side by '0.02'. x = 38 Simplifying x = 38
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