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Simplifying 35x + -5x + 6x + -36 = -24 + -17x + 17x + 24 Reorder the terms: -36 + 35x + -5x + 6x = -24 + -17x + 17x + 24 Combine like terms: 35x + -5x = 30x -36 + 30x + 6x = -24 + -17x + 17x + 24 Combine like terms: 30x + 6x = 36x -36 + 36x = -24 + -17x + 17x + 24 Reorder the terms: -36 + 36x = -24 + 24 + -17x + 17x Combine like terms: -24 + 24 = 0 -36 + 36x = 0 + -17x + 17x -36 + 36x = -17x + 17x Combine like terms: -17x + 17x = 0 -36 + 36x = 0 Solving -36 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 36x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 36x = 0 + 36 36x = 0 + 36 Combine like terms: 0 + 36 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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