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Simplifying x + 3y + -8 = 2x + -9y + -7 Reorder the terms: -8 + x + 3y = 2x + -9y + -7 Reorder the terms: -8 + x + 3y = -7 + 2x + -9y Solving -8 + x + 3y = -7 + 2x + -9y 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. -8 + x + -2x + 3y = -7 + 2x + -2x + -9y Combine like terms: x + -2x = -1x -8 + -1x + 3y = -7 + 2x + -2x + -9y Combine like terms: 2x + -2x = 0 -8 + -1x + 3y = -7 + 0 + -9y -8 + -1x + 3y = -7 + -9y Add '8' to each side of the equation. -8 + -1x + 8 + 3y = -7 + 8 + -9y Reorder the terms: -8 + 8 + -1x + 3y = -7 + 8 + -9y Combine like terms: -8 + 8 = 0 0 + -1x + 3y = -7 + 8 + -9y -1x + 3y = -7 + 8 + -9y Combine like terms: -7 + 8 = 1 -1x + 3y = 1 + -9y Add '-3y' to each side of the equation. -1x + 3y + -3y = 1 + -9y + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 1 + -9y + -3y -1x = 1 + -9y + -3y Combine like terms: -9y + -3y = -12y -1x = 1 + -12y Divide each side by '-1'. x = -1 + 12y Simplifying x = -1 + 12y
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