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Simplifying 0.5(x + -1) = 0.5(-4x + 8) Reorder the terms: 0.5(-1 + x) = 0.5(-4x + 8) (-1 * 0.5 + x * 0.5) = 0.5(-4x + 8) (-0.5 + 0.5x) = 0.5(-4x + 8) Reorder the terms: -0.5 + 0.5x = 0.5(8 + -4x) -0.5 + 0.5x = (8 * 0.5 + -4x * 0.5) -0.5 + 0.5x = (4 + -2x) Solving -0.5 + 0.5x = 4 + -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 + 0.5x + 2x = 4 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x -0.5 + 2.5x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -0.5 + 2.5x = 4 + 0 -0.5 + 2.5x = 4 Add '0.5' to each side of the equation. -0.5 + 0.5 + 2.5x = 4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.5x = 4 + 0.5 2.5x = 4 + 0.5 Combine like terms: 4 + 0.5 = 4.5 2.5x = 4.5 Divide each side by '2.5'. x = 1.8 Simplifying x = 1.8
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