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Simplifying -4x + 17y = 12 + -3x + 81y Solving -4x + 17y = 12 + -3x + 81y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4x + 3x + 17y = 12 + -3x + 3x + 81y Combine like terms: -4x + 3x = -1x -1x + 17y = 12 + -3x + 3x + 81y Combine like terms: -3x + 3x = 0 -1x + 17y = 12 + 0 + 81y -1x + 17y = 12 + 81y Add '-17y' to each side of the equation. -1x + 17y + -17y = 12 + 81y + -17y Combine like terms: 17y + -17y = 0 -1x + 0 = 12 + 81y + -17y -1x = 12 + 81y + -17y Combine like terms: 81y + -17y = 64y -1x = 12 + 64y Divide each side by '-1'. x = -12 + -64y Simplifying x = -12 + -64y
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