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Simplifying 27 + -3x + -2x + 14 = 9x + -19 + 2x + -68 Reorder the terms: 27 + 14 + -3x + -2x = 9x + -19 + 2x + -68 Combine like terms: 27 + 14 = 41 41 + -3x + -2x = 9x + -19 + 2x + -68 Combine like terms: -3x + -2x = -5x 41 + -5x = 9x + -19 + 2x + -68 Reorder the terms: 41 + -5x = -19 + -68 + 9x + 2x Combine like terms: -19 + -68 = -87 41 + -5x = -87 + 9x + 2x Combine like terms: 9x + 2x = 11x 41 + -5x = -87 + 11x Solving 41 + -5x = -87 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 41 + -5x + -11x = -87 + 11x + -11x Combine like terms: -5x + -11x = -16x 41 + -16x = -87 + 11x + -11x Combine like terms: 11x + -11x = 0 41 + -16x = -87 + 0 41 + -16x = -87 Add '-41' to each side of the equation. 41 + -41 + -16x = -87 + -41 Combine like terms: 41 + -41 = 0 0 + -16x = -87 + -41 -16x = -87 + -41 Combine like terms: -87 + -41 = -128 -16x = -128 Divide each side by '-16'. x = 8 Simplifying x = 8
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