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Simplifying 0.6(x + 20) + 0.4x = 35 Reorder the terms: 0.6(20 + x) + 0.4x = 35 (20 * 0.6 + x * 0.6) + 0.4x = 35 (12 + 0.6x) + 0.4x = 35 Combine like terms: 0.6x + 0.4x = 1x 12 + 1x = 35 Solving 12 + 1x = 35 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 + 1x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 35 + -12 1x = 35 + -12 Combine like terms: 35 + -12 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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