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Simplifying 0.2(x + 3) + -0.05(x + 20) = 0 Reorder the terms: 0.2(3 + x) + -0.05(x + 20) = 0 (3 * 0.2 + x * 0.2) + -0.05(x + 20) = 0 (0.6 + 0.2x) + -0.05(x + 20) = 0 Reorder the terms: 0.6 + 0.2x + -0.05(20 + x) = 0 0.6 + 0.2x + (20 * -0.05 + x * -0.05) = 0 0.6 + 0.2x + (-1 + -0.05x) = 0 Reorder the terms: 0.6 + -1 + 0.2x + -0.05x = 0 Combine like terms: 0.6 + -1 = -0.4 -0.4 + 0.2x + -0.05x = 0 Combine like terms: 0.2x + -0.05x = 0.15x -0.4 + 0.15x = 0 Solving -0.4 + 0.15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.15x = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.15x = 0 + 0.4 0.15x = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 0.15x = 0.4 Divide each side by '0.15'. x = 2.666666667 Simplifying x = 2.666666667
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