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Simplifying 3x + -17 = x + 100 + -4y + -57 Reorder the terms: -17 + 3x = x + 100 + -4y + -57 Reorder the terms: -17 + 3x = 100 + -57 + x + -4y Combine like terms: 100 + -57 = 43 -17 + 3x = 43 + x + -4y Solving -17 + 3x = 43 + x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 3x + -1x = 43 + x + -1x + -4y Combine like terms: 3x + -1x = 2x -17 + 2x = 43 + x + -1x + -4y Combine like terms: x + -1x = 0 -17 + 2x = 43 + 0 + -4y -17 + 2x = 43 + -4y Add '17' to each side of the equation. -17 + 17 + 2x = 43 + 17 + -4y Combine like terms: -17 + 17 = 0 0 + 2x = 43 + 17 + -4y 2x = 43 + 17 + -4y Combine like terms: 43 + 17 = 60 2x = 60 + -4y Divide each side by '2'. x = 30 + -2y Simplifying x = 30 + -2y
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