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Simplifying 9(z + 4) = 9(z + -1x) Reorder the terms: 9(4 + z) = 9(z + -1x) (4 * 9 + z * 9) = 9(z + -1x) (36 + 9z) = 9(z + -1x) Reorder the terms: 36 + 9z = 9(-1x + z) 36 + 9z = (-1x * 9 + z * 9) 36 + 9z = (-9x + 9z) Add '-9z' to each side of the equation. 36 + 9z + -9z = -9x + 9z + -9z Combine like terms: 9z + -9z = 0 36 + 0 = -9x + 9z + -9z 36 = -9x + 9z + -9z Combine like terms: 9z + -9z = 0 36 = -9x + 0 36 = -9x Solving 36 = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 36 + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 36 + 9x = 0 Add '-36' to each side of the equation. 36 + -36 + 9x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 9x = 0 + -36 9x = 0 + -36 Combine like terms: 0 + -36 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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