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Simplifying 0.4(x + -2) + 2(x + 3) = 6 Reorder the terms: 0.4(-2 + x) + 2(x + 3) = 6 (-2 * 0.4 + x * 0.4) + 2(x + 3) = 6 (-0.8 + 0.4x) + 2(x + 3) = 6 Reorder the terms: -0.8 + 0.4x + 2(3 + x) = 6 -0.8 + 0.4x + (3 * 2 + x * 2) = 6 -0.8 + 0.4x + (6 + 2x) = 6 Reorder the terms: -0.8 + 6 + 0.4x + 2x = 6 Combine like terms: -0.8 + 6 = 5.2 5.2 + 0.4x + 2x = 6 Combine like terms: 0.4x + 2x = 2.4x 5.2 + 2.4x = 6 Solving 5.2 + 2.4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2' to each side of the equation. 5.2 + -5.2 + 2.4x = 6 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 2.4x = 6 + -5.2 2.4x = 6 + -5.2 Combine like terms: 6 + -5.2 = 0.8 2.4x = 0.8 Divide each side by '2.4'. x = 0.3333333333 Simplifying x = 0.3333333333
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