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Simplifying 0.3x + 0.3(20) = 0.1(x + 30) Multiply 0.3 * 20 0.3x + 6 = 0.1(x + 30) Reorder the terms: 6 + 0.3x = 0.1(x + 30) Reorder the terms: 6 + 0.3x = 0.1(30 + x) 6 + 0.3x = (30 * 0.1 + x * 0.1) 6 + 0.3x = (3 + 0.1x) Solving 6 + 0.3x = 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 + 0.3x + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 6 + 0.2x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 6 + 0.2x = 3 + 0.0 6 + 0.2x = 3 Add '-6' to each side of the equation. 6 + -6 + 0.2x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = 3 + -6 0.2x = 3 + -6 Combine like terms: 3 + -6 = -3 0.2x = -3 Divide each side by '0.2'. x = -15 Simplifying x = -15
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