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Simplifying 0.40x + x + 30 + 0.60x + x = 360 Reorder the terms: 30 + 0.40x + x + 0.60x + x = 360 Combine like terms: 0.40x + x = 1.4x 30 + 1.4x + 0.60x + x = 360 Combine like terms: 1.4x + 0.60x = 2x 30 + 2x + x = 360 Combine like terms: 2x + x = 3x 30 + 3x = 360 Solving 30 + 3x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3x = 360 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 360 + -30 3x = 360 + -30 Combine like terms: 360 + -30 = 330 3x = 330 Divide each side by '3'. x = 110 Simplifying x = 110
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