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Simplifying 0.5x + 27 = x + -23 Reorder the terms: 27 + 0.5x = x + -23 Reorder the terms: 27 + 0.5x = -23 + x Solving 27 + 0.5x = -23 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 0.5x + -1x = -23 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 27 + -0.5x = -23 + x + -1x Combine like terms: x + -1x = 0 27 + -0.5x = -23 + 0 27 + -0.5x = -23 Add '-27' to each side of the equation. 27 + -27 + -0.5x = -23 + -27 Combine like terms: 27 + -27 = 0 0 + -0.5x = -23 + -27 -0.5x = -23 + -27 Combine like terms: -23 + -27 = -50 -0.5x = -50 Divide each side by '-0.5'. x = 100 Simplifying x = 100
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