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Simplifying 3x + -17 = x + 100 + -4x + -57 Reorder the terms: -17 + 3x = x + 100 + -4x + -57 Reorder the terms: -17 + 3x = 100 + -57 + x + -4x Combine like terms: 100 + -57 = 43 -17 + 3x = 43 + x + -4x Combine like terms: x + -4x = -3x -17 + 3x = 43 + -3x Solving -17 + 3x = 43 + -3x 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. -17 + 3x + 3x = 43 + -3x + 3x Combine like terms: 3x + 3x = 6x -17 + 6x = 43 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 6x = 43 + 0 -17 + 6x = 43 Add '17' to each side of the equation. -17 + 17 + 6x = 43 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 43 + 17 6x = 43 + 17 Combine like terms: 43 + 17 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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