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Simplifying 0.3x + 0.3(20) = 0.2(x + 10) Multiply 0.3 * 20 0.3x + 6 = 0.2(x + 10) Reorder the terms: 6 + 0.3x = 0.2(x + 10) Reorder the terms: 6 + 0.3x = 0.2(10 + x) 6 + 0.3x = (10 * 0.2 + x * 0.2) 6 + 0.3x = (2 + 0.2x) Solving 6 + 0.3x = 2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 6 + 0.3x + -0.2x = 2 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 6 + 0.1x = 2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 6 + 0.1x = 2 + 0.0 6 + 0.1x = 2 Add '-6' to each side of the equation. 6 + -6 + 0.1x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 2 + -6 0.1x = 2 + -6 Combine like terms: 2 + -6 = -4 0.1x = -4 Divide each side by '0.1'. x = -40 Simplifying x = -40
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