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Simplifying 0.70x + 0.10(90) = 0.60(x + 90) Multiply 0.10 * 90 0.70x + 9 = 0.60(x + 90) Reorder the terms: 9 + 0.70x = 0.60(x + 90) Reorder the terms: 9 + 0.70x = 0.60(90 + x) 9 + 0.70x = (90 * 0.60 + x * 0.60) 9 + 0.70x = (54 + 0.60x) Solving 9 + 0.70x = 54 + 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. 9 + 0.70x + -0.60x = 54 + 0.60x + -0.60x Combine like terms: 0.70x + -0.60x = 0.1x 9 + 0.1x = 54 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 9 + 0.1x = 54 + 0.00 9 + 0.1x = 54 Add '-9' to each side of the equation. 9 + -9 + 0.1x = 54 + -9 Combine like terms: 9 + -9 = 0 0 + 0.1x = 54 + -9 0.1x = 54 + -9 Combine like terms: 54 + -9 = 45 0.1x = 45 Divide each side by '0.1'. x = 450 Simplifying x = 450
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