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Simplifying 21.3x + 1.6 = 47.6 + -1.7x Reorder the terms: 1.6 + 21.3x = 47.6 + -1.7x Solving 1.6 + 21.3x = 47.6 + -1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7x' to each side of the equation. 1.6 + 21.3x + 1.7x = 47.6 + -1.7x + 1.7x Combine like terms: 21.3x + 1.7x = 23x 1.6 + 23x = 47.6 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 1.6 + 23x = 47.6 + 0.0 1.6 + 23x = 47.6 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 23x = 47.6 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 23x = 47.6 + -1.6 23x = 47.6 + -1.6 Combine like terms: 47.6 + -1.6 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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