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Simplifying 8(4x + -1) + -12x = 11(2z + -6) Reorder the terms: 8(-1 + 4x) + -12x = 11(2z + -6) (-1 * 8 + 4x * 8) + -12x = 11(2z + -6) (-8 + 32x) + -12x = 11(2z + -6) Combine like terms: 32x + -12x = 20x -8 + 20x = 11(2z + -6) Reorder the terms: -8 + 20x = 11(-6 + 2z) -8 + 20x = (-6 * 11 + 2z * 11) -8 + 20x = (-66 + 22z) Solving -8 + 20x = -66 + 22z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20x = -66 + 8 + 22z Combine like terms: -8 + 8 = 0 0 + 20x = -66 + 8 + 22z 20x = -66 + 8 + 22z Combine like terms: -66 + 8 = -58 20x = -58 + 22z Divide each side by '20'. x = -2.9 + 1.1z Simplifying x = -2.9 + 1.1z
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