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Simplifying x + -272 = (x * 0.5 + -16) * 0.5 Reorder the terms: -272 + x = (x * 0.5 + -16) * 0.5 Reorder the terms for easier multiplication: -272 + x = (0.5x + -16) * 0.5 Reorder the terms: -272 + x = (-16 + 0.5x) * 0.5 Reorder the terms for easier multiplication: -272 + x = 0.5(-16 + 0.5x) -272 + x = (-16 * 0.5 + 0.5x * 0.5) -272 + x = (-8 + 0.25x) Solving -272 + x = -8 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -272 + x + -0.25x = -8 + 0.25x + -0.25x Combine like terms: x + -0.25x = 0.75x -272 + 0.75x = -8 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -272 + 0.75x = -8 + 0.00 -272 + 0.75x = -8 Add '272' to each side of the equation. -272 + 272 + 0.75x = -8 + 272 Combine like terms: -272 + 272 = 0 0 + 0.75x = -8 + 272 0.75x = -8 + 272 Combine like terms: -8 + 272 = 264 0.75x = 264 Divide each side by '0.75'. x = 352 Simplifying x = 352
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