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Simplifying 45 + -6x = 17 + 8x Solving 45 + -6x = 17 + 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. 45 + -6x + -8x = 17 + 8x + -8x Combine like terms: -6x + -8x = -14x 45 + -14x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -14x = 17 + 0 45 + -14x = 17 Add '-45' to each side of the equation. 45 + -45 + -14x = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -14x = 17 + -45 -14x = 17 + -45 Combine like terms: 17 + -45 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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