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Simplifying 3.1(9.2 + 6.4x) + x = 59.78 (9.2 * 3.1 + 6.4x * 3.1) + x = 59.78 (28.52 + 19.84x) + x = 59.78 Combine like terms: 19.84x + x = 20.84x 28.52 + 20.84x = 59.78 Solving 28.52 + 20.84x = 59.78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28.52' to each side of the equation. 28.52 + -28.52 + 20.84x = 59.78 + -28.52 Combine like terms: 28.52 + -28.52 = 0.00 0.00 + 20.84x = 59.78 + -28.52 20.84x = 59.78 + -28.52 Combine like terms: 59.78 + -28.52 = 31.26 20.84x = 31.26 Divide each side by '20.84'. x = 1.5 Simplifying x = 1.5
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