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Simplifying 15 + 2x + 3y + 17 = 8x + -5 + 43 + -3y Reorder the terms: 15 + 17 + 2x + 3y = 8x + -5 + 43 + -3y Combine like terms: 15 + 17 = 32 32 + 2x + 3y = 8x + -5 + 43 + -3y Reorder the terms: 32 + 2x + 3y = -5 + 43 + 8x + -3y Combine like terms: -5 + 43 = 38 32 + 2x + 3y = 38 + 8x + -3y Solving 32 + 2x + 3y = 38 + 8x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + 2x + -8x + 3y = 38 + 8x + -8x + -3y Combine like terms: 2x + -8x = -6x 32 + -6x + 3y = 38 + 8x + -8x + -3y Combine like terms: 8x + -8x = 0 32 + -6x + 3y = 38 + 0 + -3y 32 + -6x + 3y = 38 + -3y Add '-32' to each side of the equation. 32 + -6x + -32 + 3y = 38 + -32 + -3y Reorder the terms: 32 + -32 + -6x + 3y = 38 + -32 + -3y Combine like terms: 32 + -32 = 0 0 + -6x + 3y = 38 + -32 + -3y -6x + 3y = 38 + -32 + -3y Combine like terms: 38 + -32 = 6 -6x + 3y = 6 + -3y Add '-3y' to each side of the equation. -6x + 3y + -3y = 6 + -3y + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = 6 + -3y + -3y -6x = 6 + -3y + -3y Combine like terms: -3y + -3y = -6y -6x = 6 + -6y Divide each side by '-6'. x = -1 + y Simplifying x = -1 + y
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