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Simplifying 0.5(3x + -1) + -5 = -2.5 Reorder the terms: 0.5(-1 + 3x) + -5 = -2.5 (-1 * 0.5 + 3x * 0.5) + -5 = -2.5 (-0.5 + 1.5x) + -5 = -2.5 Reorder the terms: -0.5 + -5 + 1.5x = -2.5 Combine like terms: -0.5 + -5 = -5.5 -5.5 + 1.5x = -2.5 Solving -5.5 + 1.5x = -2.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + 1.5x = -2.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1.5x = -2.5 + 5.5 1.5x = -2.5 + 5.5 Combine like terms: -2.5 + 5.5 = 3 1.5x = 3 Divide each side by '1.5'. x = 2 Simplifying x = 2
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