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Simplifying 52 = 0.5(x + -38) Reorder the terms: 52 = 0.5(-38 + x) 52 = (-38 * 0.5 + x * 0.5) 52 = (-19 + 0.5x) Solving 52 = -19 + 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. 52 + -0.5x = -19 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 52 + -0.5x = -19 + 0.0 52 + -0.5x = -19 Add '-52' to each side of the equation. 52 + -52 + -0.5x = -19 + -52 Combine like terms: 52 + -52 = 0 0 + -0.5x = -19 + -52 -0.5x = -19 + -52 Combine like terms: -19 + -52 = -71 -0.5x = -71 Divide each side by '-0.5'. x = 142 Simplifying x = 142
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