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Simplifying 0.25x + 8.5 = x + 1 + -8.5 Reorder the terms: 8.5 + 0.25x = x + 1 + -8.5 Reorder the terms: 8.5 + 0.25x = 1 + -8.5 + x Combine like terms: 1 + -8.5 = -7.5 8.5 + 0.25x = -7.5 + x Solving 8.5 + 0.25x = -7.5 + 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. 8.5 + 0.25x + -1x = -7.5 + x + -1x Combine like terms: 0.25x + -1x = -0.75x 8.5 + -0.75x = -7.5 + x + -1x Combine like terms: x + -1x = 0 8.5 + -0.75x = -7.5 + 0 8.5 + -0.75x = -7.5 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -0.75x = -7.5 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -0.75x = -7.5 + -8.5 -0.75x = -7.5 + -8.5 Combine like terms: -7.5 + -8.5 = -16 -0.75x = -16 Divide each side by '-0.75'. x = 21.33333333 Simplifying x = 21.33333333
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