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Simplifying 0.1x + -0.3(5 + -1x) = 0.1 0.1x + (5 * -0.3 + -1x * -0.3) = 0.1 0.1x + (-1.5 + 0.3x) = 0.1 Reorder the terms: -1.5 + 0.1x + 0.3x = 0.1 Combine like terms: 0.1x + 0.3x = 0.4x -1.5 + 0.4x = 0.1 Solving -1.5 + 0.4x = 0.1 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 + 0.4x = 0.1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.4x = 0.1 + 1.5 0.4x = 0.1 + 1.5 Combine like terms: 0.1 + 1.5 = 1.6 0.4x = 1.6 Divide each side by '0.4'. x = 4 Simplifying x = 4
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