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Simplifying 5x + -2 + 3x = 17 + 12y + -23 Reorder the terms: -2 + 5x + 3x = 17 + 12y + -23 Combine like terms: 5x + 3x = 8x -2 + 8x = 17 + 12y + -23 Reorder the terms: -2 + 8x = 17 + -23 + 12y Combine like terms: 17 + -23 = -6 -2 + 8x = -6 + 12y Solving -2 + 8x = -6 + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8x = -6 + 2 + 12y Combine like terms: -2 + 2 = 0 0 + 8x = -6 + 2 + 12y 8x = -6 + 2 + 12y Combine like terms: -6 + 2 = -4 8x = -4 + 12y Divide each side by '8'. x = -0.5 + 1.5y Simplifying x = -0.5 + 1.5y
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