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Simplifying 0.5(3x + -1) = 2x + -1 Reorder the terms: 0.5(-1 + 3x) = 2x + -1 (-1 * 0.5 + 3x * 0.5) = 2x + -1 (-0.5 + 1.5x) = 2x + -1 Reorder the terms: -0.5 + 1.5x = -1 + 2x Solving -0.5 + 1.5x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.5 + 1.5x + -2x = -1 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x -0.5 + -0.5x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.5 + -0.5x = -1 + 0 -0.5 + -0.5x = -1 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.5x = -1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.5x = -1 + 0.5 -0.5x = -1 + 0.5 Combine like terms: -1 + 0.5 = -0.5 -0.5x = -0.5 Divide each side by '-0.5'. x = 1 Simplifying x = 1
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