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Simplifying 35 + -1x = 6 + -2(-6x + -8) Reorder the terms: 35 + -1x = 6 + -2(-8 + -6x) 35 + -1x = 6 + (-8 * -2 + -6x * -2) 35 + -1x = 6 + (16 + 12x) Combine like terms: 6 + 16 = 22 35 + -1x = 22 + 12x Solving 35 + -1x = 22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 35 + -1x + -12x = 22 + 12x + -12x Combine like terms: -1x + -12x = -13x 35 + -13x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -13x = 22 + 0 35 + -13x = 22 Add '-35' to each side of the equation. 35 + -35 + -13x = 22 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = 22 + -35 -13x = 22 + -35 Combine like terms: 22 + -35 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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