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Simplifying 0.25(x + -8) = 1.25x + 6 Reorder the terms: 0.25(-8 + x) = 1.25x + 6 (-8 * 0.25 + x * 0.25) = 1.25x + 6 (-2 + 0.25x) = 1.25x + 6 Reorder the terms: -2 + 0.25x = 6 + 1.25x Solving -2 + 0.25x = 6 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. -2 + 0.25x + -1.25x = 6 + 1.25x + -1.25x Combine like terms: 0.25x + -1.25x = -1x -2 + -1x = 6 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 -2 + -1x = 6 + 0.00 -2 + -1x = 6 Add '2' to each side of the equation. -2 + 2 + -1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 6 + 2 -1x = 6 + 2 Combine like terms: 6 + 2 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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