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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 Combine like terms: 0.1x + 0.3x = 0.4x 3 + 0.4x = 7 Solving 3 + 0.4x = 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 + -3 + 0.4x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 0.4x = 7 + -3 0.4x = 7 + -3 Combine like terms: 7 + -3 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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