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Simplifying 3(2z + -1) + -2(x + 9) = 2(z + 1) Reorder the terms: 3(-1 + 2z) + -2(x + 9) = 2(z + 1) (-1 * 3 + 2z * 3) + -2(x + 9) = 2(z + 1) (-3 + 6z) + -2(x + 9) = 2(z + 1) Reorder the terms: -3 + 6z + -2(9 + x) = 2(z + 1) -3 + 6z + (9 * -2 + x * -2) = 2(z + 1) -3 + 6z + (-18 + -2x) = 2(z + 1) Reorder the terms: -3 + -18 + -2x + 6z = 2(z + 1) Combine like terms: -3 + -18 = -21 -21 + -2x + 6z = 2(z + 1) Reorder the terms: -21 + -2x + 6z = 2(1 + z) -21 + -2x + 6z = (1 * 2 + z * 2) -21 + -2x + 6z = (2 + 2z) Solving -21 + -2x + 6z = 2 + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -2x + 21 + 6z = 2 + 21 + 2z Reorder the terms: -21 + 21 + -2x + 6z = 2 + 21 + 2z Combine like terms: -21 + 21 = 0 0 + -2x + 6z = 2 + 21 + 2z -2x + 6z = 2 + 21 + 2z Combine like terms: 2 + 21 = 23 -2x + 6z = 23 + 2z Add '-6z' to each side of the equation. -2x + 6z + -6z = 23 + 2z + -6z Combine like terms: 6z + -6z = 0 -2x + 0 = 23 + 2z + -6z -2x = 23 + 2z + -6z Combine like terms: 2z + -6z = -4z -2x = 23 + -4z Divide each side by '-2'. x = -11.5 + 2z Simplifying x = -11.5 + 2z
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