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Simplifying -4.5 = -0.5(x + -71) Reorder the terms: -4.5 = -0.5(-71 + x) -4.5 = (-71 * -0.5 + x * -0.5) -4.5 = (35.5 + -0.5x) Solving -4.5 = 35.5 + -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. -4.5 + 0.5x = 35.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -4.5 + 0.5x = 35.5 + 0.0 -4.5 + 0.5x = 35.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.5x = 35.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.5x = 35.5 + 4.5 0.5x = 35.5 + 4.5 Combine like terms: 35.5 + 4.5 = 40 0.5x = 40 Divide each side by '0.5'. x = 80 Simplifying x = 80
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