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Simplifying -8x + -1(3z + 4) = 6z + -3(3z + 2) Reorder the terms: -8x + -1(4 + 3z) = 6z + -3(3z + 2) -8x + (4 * -1 + 3z * -1) = 6z + -3(3z + 2) -8x + (-4 + -3z) = 6z + -3(3z + 2) Reorder the terms: -4 + -8x + -3z = 6z + -3(3z + 2) Reorder the terms: -4 + -8x + -3z = 6z + -3(2 + 3z) -4 + -8x + -3z = 6z + (2 * -3 + 3z * -3) -4 + -8x + -3z = 6z + (-6 + -9z) Reorder the terms: -4 + -8x + -3z = -6 + 6z + -9z Combine like terms: 6z + -9z = -3z -4 + -8x + -3z = -6 + -3z Add '3z' to each side of the equation. -4 + -8x + -3z + 3z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + -8x + 0 = -6 + -3z + 3z -4 + -8x = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + -8x = -6 + 0 -4 + -8x = -6 Solving -4 + -8x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -8x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -6 + 4 -8x = -6 + 4 Combine like terms: -6 + 4 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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