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Simplifying 8x + 2y + 2 = 18 + 12y + -1x Reorder the terms: 2 + 8x + 2y = 18 + 12y + -1x Reorder the terms: 2 + 8x + 2y = 18 + -1x + 12y Solving 2 + 8x + 2y = 18 + -1x + 12y 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. 2 + 8x + x + 2y = 18 + -1x + x + 12y Combine like terms: 8x + x = 9x 2 + 9x + 2y = 18 + -1x + x + 12y Combine like terms: -1x + x = 0 2 + 9x + 2y = 18 + 0 + 12y 2 + 9x + 2y = 18 + 12y Add '-2' to each side of the equation. 2 + 9x + -2 + 2y = 18 + -2 + 12y Reorder the terms: 2 + -2 + 9x + 2y = 18 + -2 + 12y Combine like terms: 2 + -2 = 0 0 + 9x + 2y = 18 + -2 + 12y 9x + 2y = 18 + -2 + 12y Combine like terms: 18 + -2 = 16 9x + 2y = 16 + 12y Add '-2y' to each side of the equation. 9x + 2y + -2y = 16 + 12y + -2y Combine like terms: 2y + -2y = 0 9x + 0 = 16 + 12y + -2y 9x = 16 + 12y + -2y Combine like terms: 12y + -2y = 10y 9x = 16 + 10y Divide each side by '9'. x = 1.777777778 + 1.111111111y Simplifying x = 1.777777778 + 1.111111111y
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