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Simplifying 3(2z + 7) + -2(2x + -1) = 17 Reorder the terms: 3(7 + 2z) + -2(2x + -1) = 17 (7 * 3 + 2z * 3) + -2(2x + -1) = 17 (21 + 6z) + -2(2x + -1) = 17 Reorder the terms: 21 + 6z + -2(-1 + 2x) = 17 21 + 6z + (-1 * -2 + 2x * -2) = 17 21 + 6z + (2 + -4x) = 17 Reorder the terms: 21 + 2 + -4x + 6z = 17 Combine like terms: 21 + 2 = 23 23 + -4x + 6z = 17 Solving 23 + -4x + 6z = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -4x + -23 + 6z = 17 + -23 Reorder the terms: 23 + -23 + -4x + 6z = 17 + -23 Combine like terms: 23 + -23 = 0 0 + -4x + 6z = 17 + -23 -4x + 6z = 17 + -23 Combine like terms: 17 + -23 = -6 -4x + 6z = -6 Add '-6z' to each side of the equation. -4x + 6z + -6z = -6 + -6z Combine like terms: 6z + -6z = 0 -4x + 0 = -6 + -6z -4x = -6 + -6z Divide each side by '-4'. x = 1.5 + 1.5z Simplifying x = 1.5 + 1.5z
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