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Simplifying 0.60x + 0.30(3) = 0.50(x + 3) Multiply 0.30 * 3 0.60x + 0.9 = 0.50(x + 3) Reorder the terms: 0.9 + 0.60x = 0.50(x + 3) Reorder the terms: 0.9 + 0.60x = 0.50(3 + x) 0.9 + 0.60x = (3 * 0.50 + x * 0.50) 0.9 + 0.60x = (1.5 + 0.50x) Solving 0.9 + 0.60x = 1.5 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 0.9 + 0.60x + -0.50x = 1.5 + 0.50x + -0.50x Combine like terms: 0.60x + -0.50x = 0.1x 0.9 + 0.1x = 1.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 0.9 + 0.1x = 1.5 + 0.00 0.9 + 0.1x = 1.5 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.1x = 1.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.1x = 1.5 + -0.9 0.1x = 1.5 + -0.9 Combine like terms: 1.5 + -0.9 = 0.6 0.1x = 0.6 Divide each side by '0.1'. x = 6 Simplifying x = 6
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