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Simplifying 5.7x + 11.8 = 1.3x + 29.4 Reorder the terms: 11.8 + 5.7x = 1.3x + 29.4 Reorder the terms: 11.8 + 5.7x = 29.4 + 1.3x Solving 11.8 + 5.7x = 29.4 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 11.8 + 5.7x + -1.3x = 29.4 + 1.3x + -1.3x Combine like terms: 5.7x + -1.3x = 4.4x 11.8 + 4.4x = 29.4 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 11.8 + 4.4x = 29.4 + 0.0 11.8 + 4.4x = 29.4 Add '-11.8' to each side of the equation. 11.8 + -11.8 + 4.4x = 29.4 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + 4.4x = 29.4 + -11.8 4.4x = 29.4 + -11.8 Combine like terms: 29.4 + -11.8 = 17.6 4.4x = 17.6 Divide each side by '4.4'. x = 4 Simplifying x = 4
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