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Simplifying 35 + -6x = 17x + -9x + 12 Reorder the terms: 35 + -6x = 12 + 17x + -9x Combine like terms: 17x + -9x = 8x 35 + -6x = 12 + 8x Solving 35 + -6x = 12 + 8x 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. 35 + -6x + -8x = 12 + 8x + -8x Combine like terms: -6x + -8x = -14x 35 + -14x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -14x = 12 + 0 35 + -14x = 12 Add '-35' to each side of the equation. 35 + -35 + -14x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -14x = 12 + -35 -14x = 12 + -35 Combine like terms: 12 + -35 = -23 -14x = -23 Divide each side by '-14'. x = 1.642857143 Simplifying x = 1.642857143
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