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Simplifying 11x + -17x + 6 = 6x + 4 + -34 Reorder the terms: 6 + 11x + -17x = 6x + 4 + -34 Combine like terms: 11x + -17x = -6x 6 + -6x = 6x + 4 + -34 Reorder the terms: 6 + -6x = 4 + -34 + 6x Combine like terms: 4 + -34 = -30 6 + -6x = -30 + 6x Solving 6 + -6x = -30 + 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. 6 + -6x + -6x = -30 + 6x + -6x Combine like terms: -6x + -6x = -12x 6 + -12x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -12x = -30 + 0 6 + -12x = -30 Add '-6' to each side of the equation. 6 + -6 + -12x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -30 + -6 -12x = -30 + -6 Combine like terms: -30 + -6 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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