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Simplifying 0.5x + 8 = 1 + -0.25x + -7 Reorder the terms: 8 + 0.5x = 1 + -0.25x + -7 Reorder the terms: 8 + 0.5x = 1 + -7 + -0.25x Combine like terms: 1 + -7 = -6 8 + 0.5x = -6 + -0.25x Solving 8 + 0.5x = -6 + -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. 8 + 0.5x + 0.25x = -6 + -0.25x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 8 + 0.75x = -6 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 8 + 0.75x = -6 + 0.00 8 + 0.75x = -6 Add '-8' to each side of the equation. 8 + -8 + 0.75x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 0.75x = -6 + -8 0.75x = -6 + -8 Combine like terms: -6 + -8 = -14 0.75x = -14 Divide each side by '0.75'. x = -18.66666667 Simplifying x = -18.66666667
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