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Simplifying 12x + -7 = 11(x + -2) + 9 Reorder the terms: -7 + 12x = 11(x + -2) + 9 Reorder the terms: -7 + 12x = 11(-2 + x) + 9 -7 + 12x = (-2 * 11 + x * 11) + 9 -7 + 12x = (-22 + 11x) + 9 Reorder the terms: -7 + 12x = -22 + 9 + 11x Combine like terms: -22 + 9 = -13 -7 + 12x = -13 + 11x Solving -7 + 12x = -13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 12x + -11x = -13 + 11x + -11x Combine like terms: 12x + -11x = 1x -7 + 1x = -13 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + 1x = -13 + 0 -7 + 1x = -13 Add '7' to each side of the equation. -7 + 7 + 1x = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -13 + 7 1x = -13 + 7 Combine like terms: -13 + 7 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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