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Simplifying 34 + -7x + -26 = 12x + 20 + -13x Reorder the terms: 34 + -26 + -7x = 12x + 20 + -13x Combine like terms: 34 + -26 = 8 8 + -7x = 12x + 20 + -13x Reorder the terms: 8 + -7x = 20 + 12x + -13x Combine like terms: 12x + -13x = -1x 8 + -7x = 20 + -1x Solving 8 + -7x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + -7x + x = 20 + -1x + x Combine like terms: -7x + x = -6x 8 + -6x = 20 + -1x + x Combine like terms: -1x + x = 0 8 + -6x = 20 + 0 8 + -6x = 20 Add '-8' to each side of the equation. 8 + -8 + -6x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 20 + -8 -6x = 20 + -8 Combine like terms: 20 + -8 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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