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Simplifying 0.70x + 0.15(30) = 0.60(30 + x) Multiply 0.15 * 30 0.70x + 4.5 = 0.60(30 + x) Reorder the terms: 4.5 + 0.70x = 0.60(30 + x) 4.5 + 0.70x = (30 * 0.60 + x * 0.60) 4.5 + 0.70x = (18 + 0.60x) Solving 4.5 + 0.70x = 18 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 4.5 + 0.70x + -0.60x = 18 + 0.60x + -0.60x Combine like terms: 0.70x + -0.60x = 0.1x 4.5 + 0.1x = 18 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 4.5 + 0.1x = 18 + 0.00 4.5 + 0.1x = 18 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.1x = 18 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.1x = 18 + -4.5 0.1x = 18 + -4.5 Combine like terms: 18 + -4.5 = 13.5 0.1x = 13.5 Divide each side by '0.1'. x = 135 Simplifying x = 135
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