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Simplifying 0.3x + -0.4(2 + x) = -0.5 0.3x + (2 * -0.4 + x * -0.4) = -0.5 0.3x + (-0.8 + -0.4x) = -0.5 Reorder the terms: -0.8 + 0.3x + -0.4x = -0.5 Combine like terms: 0.3x + -0.4x = -0.1x -0.8 + -0.1x = -0.5 Solving -0.8 + -0.1x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.1x = -0.5 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.1x = -0.5 + 0.8 -0.1x = -0.5 + 0.8 Combine like terms: -0.5 + 0.8 = 0.3 -0.1x = 0.3 Divide each side by '-0.1'. x = -3 Simplifying x = -3
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