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Simplifying -3(4z + 3) + 4(6x + 1) = 43 Reorder the terms: -3(3 + 4z) + 4(6x + 1) = 43 (3 * -3 + 4z * -3) + 4(6x + 1) = 43 (-9 + -12z) + 4(6x + 1) = 43 Reorder the terms: -9 + -12z + 4(1 + 6x) = 43 -9 + -12z + (1 * 4 + 6x * 4) = 43 -9 + -12z + (4 + 24x) = 43 Reorder the terms: -9 + 4 + 24x + -12z = 43 Combine like terms: -9 + 4 = -5 -5 + 24x + -12z = 43 Solving -5 + 24x + -12z = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 24x + 5 + -12z = 43 + 5 Reorder the terms: -5 + 5 + 24x + -12z = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 24x + -12z = 43 + 5 24x + -12z = 43 + 5 Combine like terms: 43 + 5 = 48 24x + -12z = 48 Add '12z' to each side of the equation. 24x + -12z + 12z = 48 + 12z Combine like terms: -12z + 12z = 0 24x + 0 = 48 + 12z 24x = 48 + 12z Divide each side by '24'. x = 2 + 0.5z Simplifying x = 2 + 0.5z
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