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Simplifying x + -6 + 2y + -5 + z = 18 + -1x + 3y + -11 + z + -4 Reorder the terms: -6 + -5 + x + 2y + z = 18 + -1x + 3y + -11 + z + -4 Combine like terms: -6 + -5 = -11 -11 + x + 2y + z = 18 + -1x + 3y + -11 + z + -4 Reorder the terms: -11 + x + 2y + z = 18 + -11 + -4 + -1x + 3y + z Combine like terms: 18 + -11 = 7 -11 + x + 2y + z = 7 + -4 + -1x + 3y + z Combine like terms: 7 + -4 = 3 -11 + x + 2y + z = 3 + -1x + 3y + z Add '-1z' to each side of the equation. -11 + x + 2y + z + -1z = 3 + -1x + 3y + z + -1z Combine like terms: z + -1z = 0 -11 + x + 2y + 0 = 3 + -1x + 3y + z + -1z -11 + x + 2y = 3 + -1x + 3y + z + -1z Combine like terms: z + -1z = 0 -11 + x + 2y = 3 + -1x + 3y + 0 -11 + x + 2y = 3 + -1x + 3y Solving -11 + x + 2y = 3 + -1x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + x + x + 2y = 3 + -1x + x + 3y Combine like terms: x + x = 2x -11 + 2x + 2y = 3 + -1x + x + 3y Combine like terms: -1x + x = 0 -11 + 2x + 2y = 3 + 0 + 3y -11 + 2x + 2y = 3 + 3y Add '11' to each side of the equation. -11 + 2x + 11 + 2y = 3 + 11 + 3y Reorder the terms: -11 + 11 + 2x + 2y = 3 + 11 + 3y Combine like terms: -11 + 11 = 0 0 + 2x + 2y = 3 + 11 + 3y 2x + 2y = 3 + 11 + 3y Combine like terms: 3 + 11 = 14 2x + 2y = 14 + 3y Add '-2y' to each side of the equation. 2x + 2y + -2y = 14 + 3y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 14 + 3y + -2y 2x = 14 + 3y + -2y Combine like terms: 3y + -2y = 1y 2x = 14 + 1y Divide each side by '2'. x = 7 + 0.5y Simplifying x = 7 + 0.5y
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