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Simplifying 0.25(8x + -4) = z + 8 + -2z Reorder the terms: 0.25(-4 + 8x) = z + 8 + -2z (-4 * 0.25 + 8x * 0.25) = z + 8 + -2z (-1 + 2x) = z + 8 + -2z Reorder the terms: -1 + 2x = 8 + z + -2z Combine like terms: z + -2z = -1z -1 + 2x = 8 + -1z Solving -1 + 2x = 8 + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 8 + 1 + -1z Combine like terms: -1 + 1 = 0 0 + 2x = 8 + 1 + -1z 2x = 8 + 1 + -1z Combine like terms: 8 + 1 = 9 2x = 9 + -1z Divide each side by '2'. x = 4.5 + -0.5z Simplifying x = 4.5 + -0.5z
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