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Simplifying 0.5(x + -4) + 8 = -11 + 23 Reorder the terms: 0.5(-4 + x) + 8 = -11 + 23 (-4 * 0.5 + x * 0.5) + 8 = -11 + 23 (-2 + 0.5x) + 8 = -11 + 23 Reorder the terms: -2 + 8 + 0.5x = -11 + 23 Combine like terms: -2 + 8 = 6 6 + 0.5x = -11 + 23 Combine like terms: -11 + 23 = 12 6 + 0.5x = 12 Solving 6 + 0.5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.5x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x = 12 + -6 0.5x = 12 + -6 Combine like terms: 12 + -6 = 6 0.5x = 6 Divide each side by '0.5'. x = 12 Simplifying x = 12
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