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Simplifying 7x + 5 + -1.3 = 46 + -0.3x Reorder the terms: 5 + -1.3 + 7x = 46 + -0.3x Combine like terms: 5 + -1.3 = 3.7 3.7 + 7x = 46 + -0.3x Solving 3.7 + 7x = 46 + -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. 3.7 + 7x + 0.3x = 46 + -0.3x + 0.3x Combine like terms: 7x + 0.3x = 7.3x 3.7 + 7.3x = 46 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 3.7 + 7.3x = 46 + 0.0 3.7 + 7.3x = 46 Add '-3.7' to each side of the equation. 3.7 + -3.7 + 7.3x = 46 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 7.3x = 46 + -3.7 7.3x = 46 + -3.7 Combine like terms: 46 + -3.7 = 42.3 7.3x = 42.3 Divide each side by '7.3'. x = 5.794520548 Simplifying x = 5.794520548
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