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Simplifying 4x + -6(-2x + -1z + 14) + 3z = 5 Reorder the terms: 4x + -6(14 + -2x + -1z) + 3z = 5 4x + (14 * -6 + -2x * -6 + -1z * -6) + 3z = 5 4x + (-84 + 12x + 6z) + 3z = 5 Reorder the terms: -84 + 4x + 12x + 6z + 3z = 5 Combine like terms: 4x + 12x = 16x -84 + 16x + 6z + 3z = 5 Combine like terms: 6z + 3z = 9z -84 + 16x + 9z = 5 Solving -84 + 16x + 9z = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 16x + 84 + 9z = 5 + 84 Reorder the terms: -84 + 84 + 16x + 9z = 5 + 84 Combine like terms: -84 + 84 = 0 0 + 16x + 9z = 5 + 84 16x + 9z = 5 + 84 Combine like terms: 5 + 84 = 89 16x + 9z = 89 Add '-9z' to each side of the equation. 16x + 9z + -9z = 89 + -9z Combine like terms: 9z + -9z = 0 16x + 0 = 89 + -9z 16x = 89 + -9z Divide each side by '16'. x = 5.5625 + -0.5625z Simplifying x = 5.5625 + -0.5625z
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