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Simplifying 3y + 5x + -32 = 2y + -3x + -2 Reorder the terms: -32 + 5x + 3y = 2y + -3x + -2 Reorder the terms: -32 + 5x + 3y = -2 + -3x + 2y Solving -32 + 5x + 3y = -2 + -3x + 2y 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. -32 + 5x + 3x + 3y = -2 + -3x + 3x + 2y Combine like terms: 5x + 3x = 8x -32 + 8x + 3y = -2 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 -32 + 8x + 3y = -2 + 0 + 2y -32 + 8x + 3y = -2 + 2y Add '32' to each side of the equation. -32 + 8x + 32 + 3y = -2 + 32 + 2y Reorder the terms: -32 + 32 + 8x + 3y = -2 + 32 + 2y Combine like terms: -32 + 32 = 0 0 + 8x + 3y = -2 + 32 + 2y 8x + 3y = -2 + 32 + 2y Combine like terms: -2 + 32 = 30 8x + 3y = 30 + 2y Add '-3y' to each side of the equation. 8x + 3y + -3y = 30 + 2y + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 30 + 2y + -3y 8x = 30 + 2y + -3y Combine like terms: 2y + -3y = -1y 8x = 30 + -1y Divide each side by '8'. x = 3.75 + -0.125y Simplifying x = 3.75 + -0.125y
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