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Simplifying 0.5(70) + 0.7X = 0.6(70 + X) Multiply 0.5 * 70 35 + 0.7X = 0.6(70 + X) 35 + 0.7X = (70 * 0.6 + X * 0.6) 35 + 0.7X = (42 + 0.6X) Solving 35 + 0.7X = 42 + 0.6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.6X' to each side of the equation. 35 + 0.7X + -0.6X = 42 + 0.6X + -0.6X Combine like terms: 0.7X + -0.6X = 0.1X 35 + 0.1X = 42 + 0.6X + -0.6X Combine like terms: 0.6X + -0.6X = 0.0 35 + 0.1X = 42 + 0.0 35 + 0.1X = 42 Add '-35' to each side of the equation. 35 + -35 + 0.1X = 42 + -35 Combine like terms: 35 + -35 = 0 0 + 0.1X = 42 + -35 0.1X = 42 + -35 Combine like terms: 42 + -35 = 7 0.1X = 7 Divide each side by '0.1'. X = 70 Simplifying X = 70
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