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Simplifying -10 = 0.5(x + -32) Reorder the terms: -10 = 0.5(-32 + x) -10 = (-32 * 0.5 + x * 0.5) -10 = (-16 + 0.5x) Solving -10 = -16 + 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. -10 + -0.5x = -16 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -10 + -0.5x = -16 + 0.0 -10 + -0.5x = -16 Add '10' to each side of the equation. -10 + 10 + -0.5x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -0.5x = -16 + 10 -0.5x = -16 + 10 Combine like terms: -16 + 10 = -6 -0.5x = -6 Divide each side by '-0.5'. x = 12 Simplifying x = 12
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