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