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Simplifying 0.5x + -0.3(5 + -1x) = 1.3 0.5x + (5 * -0.3 + -1x * -0.3) = 1.3 0.5x + (-1.5 + 0.3x) = 1.3 Reorder the terms: -1.5 + 0.5x + 0.3x = 1.3 Combine like terms: 0.5x + 0.3x = 0.8x -1.5 + 0.8x = 1.3 Solving -1.5 + 0.8x = 1.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.8x = 1.3 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.8x = 1.3 + 1.5 0.8x = 1.3 + 1.5 Combine like terms: 1.3 + 1.5 = 2.8 0.8x = 2.8 Divide each side by '0.8'. x = 3.5 Simplifying x = 3.5
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