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Simplifying 7.38 = 0.4x + 5.34 Reorder the terms: 7.38 = 5.34 + 0.4x Solving 7.38 = 5.34 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 7.38 + -0.4x = 5.34 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 7.38 + -0.4x = 5.34 + 0.0 7.38 + -0.4x = 5.34 Add '-7.38' to each side of the equation. 7.38 + -7.38 + -0.4x = 5.34 + -7.38 Combine like terms: 7.38 + -7.38 = 0.00 0.00 + -0.4x = 5.34 + -7.38 -0.4x = 5.34 + -7.38 Combine like terms: 5.34 + -7.38 = -2.04 -0.4x = -2.04 Divide each side by '-0.4'. x = 5.1 Simplifying x = 5.1
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