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Simplifying 72.7x + 1.6 = 371.6 + -1.3x Reorder the terms: 1.6 + 72.7x = 371.6 + -1.3x Solving 1.6 + 72.7x = 371.6 + -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. 1.6 + 72.7x + 1.3x = 371.6 + -1.3x + 1.3x Combine like terms: 72.7x + 1.3x = 74x 1.6 + 74x = 371.6 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 1.6 + 74x = 371.6 + 0.0 1.6 + 74x = 371.6 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 74x = 371.6 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 74x = 371.6 + -1.6 74x = 371.6 + -1.6 Combine like terms: 371.6 + -1.6 = 370 74x = 370 Divide each side by '74'. x = 5 Simplifying x = 5
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