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Simplifying 0.3 + 0.3(20) = 0.1(x + 30) Multiply 0.3 * 20 0.3 + 6 = 0.1(x + 30) Combine like terms: 0.3 + 6 = 6.3 6.3 = 0.1(x + 30) Reorder the terms: 6.3 = 0.1(30 + x) 6.3 = (30 * 0.1 + x * 0.1) 6.3 = (3 + 0.1x) Solving 6.3 = 3 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 6.3 + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 6.3 + -0.1x = 3 + 0.0 6.3 + -0.1x = 3 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -0.1x = 3 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -0.1x = 3 + -6.3 -0.1x = 3 + -6.3 Combine like terms: 3 + -6.3 = -3.3 -0.1x = -3.3 Divide each side by '-0.1'. x = 33 Simplifying x = 33
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