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Simplifying 4(3z + 2) + -7x = 0 Reorder the terms: 4(2 + 3z) + -7x = 0 (2 * 4 + 3z * 4) + -7x = 0 (8 + 12z) + -7x = 0 Reorder the terms: 8 + -7x + 12z = 0 Solving 8 + -7x + 12z = 0 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 + -7x + -8 + 12z = 0 + -8 Reorder the terms: 8 + -8 + -7x + 12z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x + 12z = 0 + -8 -7x + 12z = 0 + -8 Combine like terms: 0 + -8 = -8 -7x + 12z = -8 Add '-12z' to each side of the equation. -7x + 12z + -12z = -8 + -12z Combine like terms: 12z + -12z = 0 -7x + 0 = -8 + -12z -7x = -8 + -12z Divide each side by '-7'. x = 1.142857143 + 1.714285714z Simplifying x = 1.142857143 + 1.714285714z
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