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Simplifying 38x + -3(0.5 + 10x) = -11.5 38x + (0.5 * -3 + 10x * -3) = -11.5 38x + (-1.5 + -30x) = -11.5 Reorder the terms: -1.5 + 38x + -30x = -11.5 Combine like terms: 38x + -30x = 8x -1.5 + 8x = -11.5 Solving -1.5 + 8x = -11.5 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 + 8x = -11.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 8x = -11.5 + 1.5 8x = -11.5 + 1.5 Combine like terms: -11.5 + 1.5 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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