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Simplifying 0.6(x + 20) + 0.8x = 61 Reorder the terms: 0.6(20 + x) + 0.8x = 61 (20 * 0.6 + x * 0.6) + 0.8x = 61 (12 + 0.6x) + 0.8x = 61 Combine like terms: 0.6x + 0.8x = 1.4x 12 + 1.4x = 61 Solving 12 + 1.4x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1.4x = 61 + -12 Combine like terms: 12 + -12 = 0 0 + 1.4x = 61 + -12 1.4x = 61 + -12 Combine like terms: 61 + -12 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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