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Simplifying 4x + -12x + 11 = 6x + -17 Reorder the terms: 11 + 4x + -12x = 6x + -17 Combine like terms: 4x + -12x = -8x 11 + -8x = 6x + -17 Reorder the terms: 11 + -8x = -17 + 6x Solving 11 + -8x = -17 + 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. 11 + -8x + -6x = -17 + 6x + -6x Combine like terms: -8x + -6x = -14x 11 + -14x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -14x = -17 + 0 11 + -14x = -17 Add '-11' to each side of the equation. 11 + -11 + -14x = -17 + -11 Combine like terms: 11 + -11 = 0 0 + -14x = -17 + -11 -14x = -17 + -11 Combine like terms: -17 + -11 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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