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Simplifying 9(x + -1) + -2(3z + 4) = 7 Reorder the terms: 9(-1 + x) + -2(3z + 4) = 7 (-1 * 9 + x * 9) + -2(3z + 4) = 7 (-9 + 9x) + -2(3z + 4) = 7 Reorder the terms: -9 + 9x + -2(4 + 3z) = 7 -9 + 9x + (4 * -2 + 3z * -2) = 7 -9 + 9x + (-8 + -6z) = 7 Reorder the terms: -9 + -8 + 9x + -6z = 7 Combine like terms: -9 + -8 = -17 -17 + 9x + -6z = 7 Solving -17 + 9x + -6z = 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 + 9x + 17 + -6z = 7 + 17 Reorder the terms: -17 + 17 + 9x + -6z = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 9x + -6z = 7 + 17 9x + -6z = 7 + 17 Combine like terms: 7 + 17 = 24 9x + -6z = 24 Add '6z' to each side of the equation. 9x + -6z + 6z = 24 + 6z Combine like terms: -6z + 6z = 0 9x + 0 = 24 + 6z 9x = 24 + 6z Divide each side by '9'. x = 2.666666667 + 0.6666666667z Simplifying x = 2.666666667 + 0.6666666667z
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