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Simplifying 2(2x + -3) = 3(z + -4) Reorder the terms: 2(-3 + 2x) = 3(z + -4) (-3 * 2 + 2x * 2) = 3(z + -4) (-6 + 4x) = 3(z + -4) Reorder the terms: -6 + 4x = 3(-4 + z) -6 + 4x = (-4 * 3 + z * 3) -6 + 4x = (-12 + 3z) Solving -6 + 4x = -12 + 3z 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 + 6 + 4x = -12 + 6 + 3z Combine like terms: -6 + 6 = 0 0 + 4x = -12 + 6 + 3z 4x = -12 + 6 + 3z Combine like terms: -12 + 6 = -6 4x = -6 + 3z Divide each side by '4'. x = -1.5 + 0.75z Simplifying x = -1.5 + 0.75z
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