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Simplifying (3x + 5y + z + -7) + (4x + -2y + -1z + 8) + (-2x + y + -3z + -4) = 0 Reorder the terms: (-7 + 3x + 5y + z) + (4x + -2y + -1z + 8) + (-2x + y + -3z + -4) = 0 Remove parenthesis around (-7 + 3x + 5y + z) -7 + 3x + 5y + z + (4x + -2y + -1z + 8) + (-2x + y + -3z + -4) = 0 Reorder the terms: -7 + 3x + 5y + z + (8 + 4x + -2y + -1z) + (-2x + y + -3z + -4) = 0 Remove parenthesis around (8 + 4x + -2y + -1z) -7 + 3x + 5y + z + 8 + 4x + -2y + -1z + (-2x + y + -3z + -4) = 0 Reorder the terms: -7 + 3x + 5y + z + 8 + 4x + -2y + -1z + (-4 + -2x + y + -3z) = 0 Remove parenthesis around (-4 + -2x + y + -3z) -7 + 3x + 5y + z + 8 + 4x + -2y + -1z + -4 + -2x + y + -3z = 0 Reorder the terms: -7 + 8 + -4 + 3x + 4x + -2x + 5y + -2y + y + z + -1z + -3z = 0 Combine like terms: -7 + 8 = 1 1 + -4 + 3x + 4x + -2x + 5y + -2y + y + z + -1z + -3z = 0 Combine like terms: 1 + -4 = -3 -3 + 3x + 4x + -2x + 5y + -2y + y + z + -1z + -3z = 0 Combine like terms: 3x + 4x = 7x -3 + 7x + -2x + 5y + -2y + y + z + -1z + -3z = 0 Combine like terms: 7x + -2x = 5x -3 + 5x + 5y + -2y + y + z + -1z + -3z = 0 Combine like terms: 5y + -2y = 3y -3 + 5x + 3y + y + z + -1z + -3z = 0 Combine like terms: 3y + y = 4y -3 + 5x + 4y + z + -1z + -3z = 0 Combine like terms: z + -1z = 0 -3 + 5x + 4y + 0 + -3z = 0 -3 + 5x + 4y + -3z = 0 Solving -3 + 5x + 4y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5x + 4y + 3 + -3z = 0 + 3 Reorder the terms: -3 + 3 + 5x + 4y + -3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + 4y + -3z = 0 + 3 5x + 4y + -3z = 0 + 3 Combine like terms: 0 + 3 = 3 5x + 4y + -3z = 3 Add '-4y' to each side of the equation. 5x + 4y + -4y + -3z = 3 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + -3z = 3 + -4y 5x + -3z = 3 + -4y Add '3z' to each side of the equation. 5x + -3z + 3z = 3 + -4y + 3z Combine like terms: -3z + 3z = 0 5x + 0 = 3 + -4y + 3z 5x = 3 + -4y + 3z Divide each side by '5'. x = 0.6 + -0.8y + 0.6z Simplifying x = 0.6 + -0.8y + 0.6z
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