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Simplifying 0.5x + 0.5 = -2(y + 1) Reorder the terms: 0.5 + 0.5x = -2(y + 1) Reorder the terms: 0.5 + 0.5x = -2(1 + y) 0.5 + 0.5x = (1 * -2 + y * -2) 0.5 + 0.5x = (-2 + -2y) Solving 0.5 + 0.5x = -2 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.5x = -2 + -0.5 + -2y Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5x = -2 + -0.5 + -2y 0.5x = -2 + -0.5 + -2y Combine like terms: -2 + -0.5 = -2.5 0.5x = -2.5 + -2y Divide each side by '0.5'. x = -5 + -4y Simplifying x = -5 + -4y
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