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Simplifying -7x + -12x + 81 = x + 2x + -27 Reorder the terms: 81 + -7x + -12x = x + 2x + -27 Combine like terms: -7x + -12x = -19x 81 + -19x = x + 2x + -27 Reorder the terms: 81 + -19x = -27 + x + 2x Combine like terms: x + 2x = 3x 81 + -19x = -27 + 3x Solving 81 + -19x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 81 + -19x + -3x = -27 + 3x + -3x Combine like terms: -19x + -3x = -22x 81 + -22x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 81 + -22x = -27 + 0 81 + -22x = -27 Add '-81' to each side of the equation. 81 + -81 + -22x = -27 + -81 Combine like terms: 81 + -81 = 0 0 + -22x = -27 + -81 -22x = -27 + -81 Combine like terms: -27 + -81 = -108 -22x = -108 Divide each side by '-22'. x = 4.909090909 Simplifying x = 4.909090909
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