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Simplifying 0.6(x + 80) + 0.8x = 97 Reorder the terms: 0.6(80 + x) + 0.8x = 97 (80 * 0.6 + x * 0.6) + 0.8x = 97 (48 + 0.6x) + 0.8x = 97 Combine like terms: 0.6x + 0.8x = 1.4x 48 + 1.4x = 97 Solving 48 + 1.4x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 1.4x = 97 + -48 Combine like terms: 48 + -48 = 0 0 + 1.4x = 97 + -48 1.4x = 97 + -48 Combine like terms: 97 + -48 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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