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Simplifying 0.2(x + -50) = 0.4(x + 20) Reorder the terms: 0.2(-50 + x) = 0.4(x + 20) (-50 * 0.2 + x * 0.2) = 0.4(x + 20) (-10 + 0.2x) = 0.4(x + 20) Reorder the terms: -10 + 0.2x = 0.4(20 + x) -10 + 0.2x = (20 * 0.4 + x * 0.4) -10 + 0.2x = (8 + 0.4x) Solving -10 + 0.2x = 8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -10 + 0.2x + -0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x -10 + -0.2x = 8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -10 + -0.2x = 8 + 0.0 -10 + -0.2x = 8 Add '10' to each side of the equation. -10 + 10 + -0.2x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -0.2x = 8 + 10 -0.2x = 8 + 10 Combine like terms: 8 + 10 = 18 -0.2x = 18 Divide each side by '-0.2'. x = -90 Simplifying x = -90
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