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Simplifying 0.2(2x + -1) + -0.5(3x + -1) = 0.4 Reorder the terms: 0.2(-1 + 2x) + -0.5(3x + -1) = 0.4 (-1 * 0.2 + 2x * 0.2) + -0.5(3x + -1) = 0.4 (-0.2 + 0.4x) + -0.5(3x + -1) = 0.4 Reorder the terms: -0.2 + 0.4x + -0.5(-1 + 3x) = 0.4 -0.2 + 0.4x + (-1 * -0.5 + 3x * -0.5) = 0.4 -0.2 + 0.4x + (0.5 + -1.5x) = 0.4 Reorder the terms: -0.2 + 0.5 + 0.4x + -1.5x = 0.4 Combine like terms: -0.2 + 0.5 = 0.3 0.3 + 0.4x + -1.5x = 0.4 Combine like terms: 0.4x + -1.5x = -1.1x 0.3 + -1.1x = 0.4 Solving 0.3 + -1.1x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + -1.1x = 0.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1.1x = 0.4 + -0.3 -1.1x = 0.4 + -0.3 Combine like terms: 0.4 + -0.3 = 0.1 -1.1x = 0.1 Divide each side by '-1.1'. x = -0.09090909091 Simplifying x = -0.09090909091
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