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Simplifying 0.4(x + 60) + 0.6x = 52 Reorder the terms: 0.4(60 + x) + 0.6x = 52 (60 * 0.4 + x * 0.4) + 0.6x = 52 (24 + 0.4x) + 0.6x = 52 Combine like terms: 0.4x + 0.6x = 1x 24 + 1x = 52 Solving 24 + 1x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 52 + -24 1x = 52 + -24 Combine like terms: 52 + -24 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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