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Simplifying 4z + -3(1 + -3x) = -3 4z + (1 * -3 + -3x * -3) = -3 4z + (-3 + 9x) = -3 Reorder the terms: -3 + 9x + 4z = -3 Add '3' to each side of the equation. -3 + 9x + 3 + 4z = -3 + 3 Reorder the terms: -3 + 3 + 9x + 4z = -3 + 3 Combine like terms: -3 + 3 = 0 0 + 9x + 4z = -3 + 3 9x + 4z = -3 + 3 Combine like terms: -3 + 3 = 0 9x + 4z = 0 Solving 9x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4z' to each side of the equation. 9x + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 9x + 0 = 0 + -4z 9x = 0 + -4z Remove the zero: 9x = -4z Divide each side by '9'. x = -0.4444444444z Simplifying x = -0.4444444444z
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