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Simplifying 0.2(3.2x + -5) = 2 + 0.4x Reorder the terms: 0.2(-5 + 3.2x) = 2 + 0.4x (-5 * 0.2 + 3.2x * 0.2) = 2 + 0.4x (-1 + 0.64x) = 2 + 0.4x Solving -1 + 0.64x = 2 + 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. -1 + 0.64x + -0.4x = 2 + 0.4x + -0.4x Combine like terms: 0.64x + -0.4x = 0.24x -1 + 0.24x = 2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -1 + 0.24x = 2 + 0.0 -1 + 0.24x = 2 Add '1' to each side of the equation. -1 + 1 + 0.24x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 0.24x = 2 + 1 0.24x = 2 + 1 Combine like terms: 2 + 1 = 3 0.24x = 3 Divide each side by '0.24'. x = 12.5 Simplifying x = 12.5
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