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Simplifying 6z + -9x + -4 = 2x + -2 Reorder the terms: -4 + -9x + 6z = 2x + -2 Reorder the terms: -4 + -9x + 6z = -2 + 2x Solving -4 + -9x + 6z = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -9x + -2x + 6z = -2 + 2x + -2x Combine like terms: -9x + -2x = -11x -4 + -11x + 6z = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -11x + 6z = -2 + 0 -4 + -11x + 6z = -2 Add '4' to each side of the equation. -4 + -11x + 4 + 6z = -2 + 4 Reorder the terms: -4 + 4 + -11x + 6z = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -11x + 6z = -2 + 4 -11x + 6z = -2 + 4 Combine like terms: -2 + 4 = 2 -11x + 6z = 2 Add '-6z' to each side of the equation. -11x + 6z + -6z = 2 + -6z Combine like terms: 6z + -6z = 0 -11x + 0 = 2 + -6z -11x = 2 + -6z Divide each side by '-11'. x = -0.1818181818 + 0.5454545455z Simplifying x = -0.1818181818 + 0.5454545455z
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