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Simplifying 5x + 12x + -35 = -6x + 32 Reorder the terms: -35 + 5x + 12x = -6x + 32 Combine like terms: 5x + 12x = 17x -35 + 17x = -6x + 32 Reorder the terms: -35 + 17x = 32 + -6x Solving -35 + 17x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 17x + 6x = 32 + -6x + 6x Combine like terms: 17x + 6x = 23x -35 + 23x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 23x = 32 + 0 -35 + 23x = 32 Add '35' to each side of the equation. -35 + 35 + 23x = 32 + 35 Combine like terms: -35 + 35 = 0 0 + 23x = 32 + 35 23x = 32 + 35 Combine like terms: 32 + 35 = 67 23x = 67 Divide each side by '23'. x = 2.913043478 Simplifying x = 2.913043478
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