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Simplifying -5x + 12y = 3x + 4y Solving -5x + 12y = 3x + 4y 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. -5x + -3x + 12y = 3x + -3x + 4y Combine like terms: -5x + -3x = -8x -8x + 12y = 3x + -3x + 4y Combine like terms: 3x + -3x = 0 -8x + 12y = 0 + 4y -8x + 12y = 4y Add '-12y' to each side of the equation. -8x + 12y + -12y = 4y + -12y Combine like terms: 12y + -12y = 0 -8x + 0 = 4y + -12y -8x = 4y + -12y Combine like terms: 4y + -12y = -8y -8x = -8y Divide each side by '-8'. x = y Simplifying x = y
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