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Simplifying 3x + 5y + -4x + 7y = 23 + -17 Reorder the terms: 3x + -4x + 5y + 7y = 23 + -17 Combine like terms: 3x + -4x = -1x -1x + 5y + 7y = 23 + -17 Combine like terms: 5y + 7y = 12y -1x + 12y = 23 + -17 Combine like terms: 23 + -17 = 6 -1x + 12y = 6 Solving -1x + 12y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -1x + 12y + -12y = 6 + -12y Combine like terms: 12y + -12y = 0 -1x + 0 = 6 + -12y -1x = 6 + -12y Divide each side by '-1'. x = -6 + 12y Simplifying x = -6 + 12y
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