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Simplifying 3.814x = 2.916(4.2 + -0.06x) + 5.3 3.814x = (4.2 * 2.916 + -0.06x * 2.916) + 5.3 3.814x = (12.2472 + -0.17496x) + 5.3 Reorder the terms: 3.814x = 12.2472 + 5.3 + -0.17496x Combine like terms: 12.2472 + 5.3 = 17.5472 3.814x = 17.5472 + -0.17496x Solving 3.814x = 17.5472 + -0.17496x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.17496x' to each side of the equation. 3.814x + 0.17496x = 17.5472 + -0.17496x + 0.17496x Combine like terms: 3.814x + 0.17496x = 3.98896x 3.98896x = 17.5472 + -0.17496x + 0.17496x Combine like terms: -0.17496x + 0.17496x = 0.00000 3.98896x = 17.5472 + 0.00000 3.98896x = 17.5472 Divide each side by '3.98896'. x = 4.398941077 Simplifying x = 4.398941077
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