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Simplifying (z + -7x + 4y + -2) + -1(2y + -9x + 4) = 0 Reorder the terms: (-2 + -7x + 4y + z) + -1(2y + -9x + 4) = 0 Remove parenthesis around (-2 + -7x + 4y + z) -2 + -7x + 4y + z + -1(2y + -9x + 4) = 0 Reorder the terms: -2 + -7x + 4y + z + -1(4 + -9x + 2y) = 0 -2 + -7x + 4y + z + (4 * -1 + -9x * -1 + 2y * -1) = 0 -2 + -7x + 4y + z + (-4 + 9x + -2y) = 0 Reorder the terms: -2 + -4 + -7x + 9x + 4y + -2y + z = 0 Combine like terms: -2 + -4 = -6 -6 + -7x + 9x + 4y + -2y + z = 0 Combine like terms: -7x + 9x = 2x -6 + 2x + 4y + -2y + z = 0 Combine like terms: 4y + -2y = 2y -6 + 2x + 2y + z = 0 Solving -6 + 2x + 2y + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 2y + 6 + z = 0 + 6 Reorder the terms: -6 + 6 + 2x + 2y + z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 2y + z = 0 + 6 2x + 2y + z = 0 + 6 Combine like terms: 0 + 6 = 6 2x + 2y + z = 6 Add '-2y' to each side of the equation. 2x + 2y + -2y + z = 6 + -2y Combine like terms: 2y + -2y = 0 2x + 0 + z = 6 + -2y 2x + z = 6 + -2y Add '-1z' to each side of the equation. 2x + z + -1z = 6 + -2y + -1z Combine like terms: z + -1z = 0 2x + 0 = 6 + -2y + -1z 2x = 6 + -2y + -1z Divide each side by '2'. x = 3 + -1y + -0.5z Simplifying x = 3 + -1y + -0.5z
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