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Simplifying -2(x + 3) + -1z = -1z + -4(z + 2) Reorder the terms: -2(3 + x) + -1z = -1z + -4(z + 2) (3 * -2 + x * -2) + -1z = -1z + -4(z + 2) (-6 + -2x) + -1z = -1z + -4(z + 2) Reorder the terms: -6 + -2x + -1z = -1z + -4(2 + z) -6 + -2x + -1z = -1z + (2 * -4 + z * -4) -6 + -2x + -1z = -1z + (-8 + -4z) Reorder the terms: -6 + -2x + -1z = -8 + -1z + -4z Combine like terms: -1z + -4z = -5z -6 + -2x + -1z = -8 + -5z Solving -6 + -2x + -1z = -8 + -5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2x + 6 + -1z = -8 + 6 + -5z Reorder the terms: -6 + 6 + -2x + -1z = -8 + 6 + -5z Combine like terms: -6 + 6 = 0 0 + -2x + -1z = -8 + 6 + -5z -2x + -1z = -8 + 6 + -5z Combine like terms: -8 + 6 = -2 -2x + -1z = -2 + -5z Add 'z' to each side of the equation. -2x + -1z + z = -2 + -5z + z Combine like terms: -1z + z = 0 -2x + 0 = -2 + -5z + z -2x = -2 + -5z + z Combine like terms: -5z + z = -4z -2x = -2 + -4z Divide each side by '-2'. x = 1 + 2z Simplifying x = 1 + 2z
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