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Simplifying 0.4(x + -50) = 0.2x + 12 Reorder the terms: 0.4(-50 + x) = 0.2x + 12 (-50 * 0.4 + x * 0.4) = 0.2x + 12 (-20 + 0.4x) = 0.2x + 12 Reorder the terms: -20 + 0.4x = 12 + 0.2x Solving -20 + 0.4x = 12 + 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. -20 + 0.4x + -0.2x = 12 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x -20 + 0.2x = 12 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -20 + 0.2x = 12 + 0.0 -20 + 0.2x = 12 Add '20' to each side of the equation. -20 + 20 + 0.2x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 0.2x = 12 + 20 0.2x = 12 + 20 Combine like terms: 12 + 20 = 32 0.2x = 32 Divide each side by '0.2'. x = 160 Simplifying x = 160
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