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Simplifying 11x + 1 = 2(6x + -5) Reorder the terms: 1 + 11x = 2(6x + -5) Reorder the terms: 1 + 11x = 2(-5 + 6x) 1 + 11x = (-5 * 2 + 6x * 2) 1 + 11x = (-10 + 12x) Solving 1 + 11x = -10 + 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. 1 + 11x + -12x = -10 + 12x + -12x Combine like terms: 11x + -12x = -1x 1 + -1x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -1x = -10 + 0 1 + -1x = -10 Add '-1' to each side of the equation. 1 + -1 + -1x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -10 + -1 -1x = -10 + -1 Combine like terms: -10 + -1 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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