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Simplifying 0.3x + 0.2(30) = 0.1(x + 40) Multiply 0.2 * 30 0.3x + 6 = 0.1(x + 40) Reorder the terms: 6 + 0.3x = 0.1(x + 40) Reorder the terms: 6 + 0.3x = 0.1(40 + x) 6 + 0.3x = (40 * 0.1 + x * 0.1) 6 + 0.3x = (4 + 0.1x) Solving 6 + 0.3x = 4 + 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 = 4 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 6 + 0.2x = 4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 6 + 0.2x = 4 + 0.0 6 + 0.2x = 4 Add '-6' to each side of the equation. 6 + -6 + 0.2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = 4 + -6 0.2x = 4 + -6 Combine like terms: 4 + -6 = -2 0.2x = -2 Divide each side by '0.2'. x = -10 Simplifying x = -10
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