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Simplifying 0.25(8x + -4) = z + 8 + -2x Reorder the terms: 0.25(-4 + 8x) = z + 8 + -2x (-4 * 0.25 + 8x * 0.25) = z + 8 + -2x (-1 + 2x) = z + 8 + -2x Reorder the terms: -1 + 2x = 8 + -2x + z Solving -1 + 2x = 8 + -2x + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 2x + 2x = 8 + -2x + 2x + z Combine like terms: 2x + 2x = 4x -1 + 4x = 8 + -2x + 2x + z Combine like terms: -2x + 2x = 0 -1 + 4x = 8 + 0 + z -1 + 4x = 8 + z Add '1' to each side of the equation. -1 + 1 + 4x = 8 + 1 + z Combine like terms: -1 + 1 = 0 0 + 4x = 8 + 1 + z 4x = 8 + 1 + z Combine like terms: 8 + 1 = 9 4x = 9 + z Divide each side by '4'. x = 2.25 + 0.25z Simplifying x = 2.25 + 0.25z
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