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Simplifying X + -1(z + 17) = 2(11 + -3x) Reorder the terms: X + -1(17 + z) = 2(11 + -3x) X + (17 * -1 + z * -1) = 2(11 + -3x) X + (-17 + -1z) = 2(11 + -3x) Reorder the terms: -17 + X + -1z = 2(11 + -3x) -17 + X + -1z = (11 * 2 + -3x * 2) -17 + X + -1z = (22 + -6x) Solving -17 + X + -1z = 22 + -6x 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 + X + 17 + -1z = 22 + 17 + -6x Reorder the terms: -17 + 17 + X + -1z = 22 + 17 + -6x Combine like terms: -17 + 17 = 0 0 + X + -1z = 22 + 17 + -6x X + -1z = 22 + 17 + -6x Combine like terms: 22 + 17 = 39 X + -1z = 39 + -6x Add 'z' to each side of the equation. X + -1z + z = 39 + -6x + z Combine like terms: -1z + z = 0 X + 0 = 39 + -6x + z X = 39 + -6x + z Simplifying X = 39 + -6x + z
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