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Simplifying 25.49 + 70.3x = 5.912 + 5.2(6.1 + 3.2x) 25.49 + 70.3x = 5.912 + (6.1 * 5.2 + 3.2x * 5.2) 25.49 + 70.3x = 5.912 + (31.72 + 16.64x) Combine like terms: 5.912 + 31.72 = 37.632 25.49 + 70.3x = 37.632 + 16.64x Solving 25.49 + 70.3x = 37.632 + 16.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.64x' to each side of the equation. 25.49 + 70.3x + -16.64x = 37.632 + 16.64x + -16.64x Combine like terms: 70.3x + -16.64x = 53.66x 25.49 + 53.66x = 37.632 + 16.64x + -16.64x Combine like terms: 16.64x + -16.64x = 0.00 25.49 + 53.66x = 37.632 + 0.00 25.49 + 53.66x = 37.632 Add '-25.49' to each side of the equation. 25.49 + -25.49 + 53.66x = 37.632 + -25.49 Combine like terms: 25.49 + -25.49 = 0.00 0.00 + 53.66x = 37.632 + -25.49 53.66x = 37.632 + -25.49 Combine like terms: 37.632 + -25.49 = 12.142 53.66x = 12.142 Divide each side by '53.66'. x = 0.2262765561 Simplifying x = 0.2262765561
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