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Simplifying 11x + -2 = 7 + -2(3 + -6x) Reorder the terms: -2 + 11x = 7 + -2(3 + -6x) -2 + 11x = 7 + (3 * -2 + -6x * -2) -2 + 11x = 7 + (-6 + 12x) Combine like terms: 7 + -6 = 1 -2 + 11x = 1 + 12x Solving -2 + 11x = 1 + 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. -2 + 11x + -12x = 1 + 12x + -12x Combine like terms: 11x + -12x = -1x -2 + -1x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -1x = 1 + 0 -2 + -1x = 1 Add '2' to each side of the equation. -2 + 2 + -1x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 1 + 2 -1x = 1 + 2 Combine like terms: 1 + 2 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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