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Simplifying 3(x + -11) = 18 + -2(z + -2) Reorder the terms: 3(-11 + x) = 18 + -2(z + -2) (-11 * 3 + x * 3) = 18 + -2(z + -2) (-33 + 3x) = 18 + -2(z + -2) Reorder the terms: -33 + 3x = 18 + -2(-2 + z) -33 + 3x = 18 + (-2 * -2 + z * -2) -33 + 3x = 18 + (4 + -2z) Combine like terms: 18 + 4 = 22 -33 + 3x = 22 + -2z Solving -33 + 3x = 22 + -2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 3x = 22 + 33 + -2z Combine like terms: -33 + 33 = 0 0 + 3x = 22 + 33 + -2z 3x = 22 + 33 + -2z Combine like terms: 22 + 33 = 55 3x = 55 + -2z Divide each side by '3'. x = 18.33333333 + -0.6666666667z Simplifying x = 18.33333333 + -0.6666666667z
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