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Simplifying 0.1(X + 30) + 0.3x = 7 Reorder the terms: 0.1(30 + X) + 0.3x = 7 (30 * 0.1 + X * 0.1) + 0.3x = 7 (3 + 0.1X) + 0.3x = 7 Solving 3 + 0.1X + 0.3x = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 0.1X + -3 + 0.3x = 7 + -3 Reorder the terms: 3 + -3 + 0.1X + 0.3x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 0.1X + 0.3x = 7 + -3 0.1X + 0.3x = 7 + -3 Combine like terms: 7 + -3 = 4 0.1X + 0.3x = 4 Add '-0.3x' to each side of the equation. 0.1X + 0.3x + -0.3x = 4 + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.1X + 0.0 = 4 + -0.3x 0.1X = 4 + -0.3x Divide each side by '0.1'. X = 40 + -3x Simplifying X = 40 + -3x
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