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Simplifying 0.25(x + -8) + 0.5(x + 2) = x + 6 Reorder the terms: 0.25(-8 + x) + 0.5(x + 2) = x + 6 (-8 * 0.25 + x * 0.25) + 0.5(x + 2) = x + 6 (-2 + 0.25x) + 0.5(x + 2) = x + 6 Reorder the terms: -2 + 0.25x + 0.5(2 + x) = x + 6 -2 + 0.25x + (2 * 0.5 + x * 0.5) = x + 6 -2 + 0.25x + (1 + 0.5x) = x + 6 Reorder the terms: -2 + 1 + 0.25x + 0.5x = x + 6 Combine like terms: -2 + 1 = -1 -1 + 0.25x + 0.5x = x + 6 Combine like terms: 0.25x + 0.5x = 0.75x -1 + 0.75x = x + 6 Reorder the terms: -1 + 0.75x = 6 + x Solving -1 + 0.75x = 6 + 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. -1 + 0.75x + -1x = 6 + x + -1x Combine like terms: 0.75x + -1x = -0.25x -1 + -0.25x = 6 + x + -1x Combine like terms: x + -1x = 0 -1 + -0.25x = 6 + 0 -1 + -0.25x = 6 Add '1' to each side of the equation. -1 + 1 + -0.25x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -0.25x = 6 + 1 -0.25x = 6 + 1 Combine like terms: 6 + 1 = 7 -0.25x = 7 Divide each side by '-0.25'. x = -28 Simplifying x = -28
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