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Simplifying 9(z + -1) + -2(3x + 4) = 7 Reorder the terms: 9(-1 + z) + -2(3x + 4) = 7 (-1 * 9 + z * 9) + -2(3x + 4) = 7 (-9 + 9z) + -2(3x + 4) = 7 Reorder the terms: -9 + 9z + -2(4 + 3x) = 7 -9 + 9z + (4 * -2 + 3x * -2) = 7 -9 + 9z + (-8 + -6x) = 7 Reorder the terms: -9 + -8 + -6x + 9z = 7 Combine like terms: -9 + -8 = -17 -17 + -6x + 9z = 7 Solving -17 + -6x + 9z = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -6x + 17 + 9z = 7 + 17 Reorder the terms: -17 + 17 + -6x + 9z = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -6x + 9z = 7 + 17 -6x + 9z = 7 + 17 Combine like terms: 7 + 17 = 24 -6x + 9z = 24 Add '-9z' to each side of the equation. -6x + 9z + -9z = 24 + -9z Combine like terms: 9z + -9z = 0 -6x + 0 = 24 + -9z -6x = 24 + -9z Divide each side by '-6'. x = -4 + 1.5z Simplifying x = -4 + 1.5z
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