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Simplifying x + 3 = 0.5(x + -2) Reorder the terms: 3 + x = 0.5(x + -2) Reorder the terms: 3 + x = 0.5(-2 + x) 3 + x = (-2 * 0.5 + x * 0.5) 3 + x = (-1 + 0.5x) Solving 3 + x = -1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3 + x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 3 + 0.5x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 0.5x = -1 + 0.0 3 + 0.5x = -1 Add '-3' to each side of the equation. 3 + -3 + 0.5x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5x = -1 + -3 0.5x = -1 + -3 Combine like terms: -1 + -3 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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