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Simplifying 12x + -11 = 6 + -1(5 + -9x) + -2x + -7 Reorder the terms: -11 + 12x = 6 + -1(5 + -9x) + -2x + -7 -11 + 12x = 6 + (5 * -1 + -9x * -1) + -2x + -7 -11 + 12x = 6 + (-5 + 9x) + -2x + -7 Reorder the terms: -11 + 12x = 6 + -5 + -7 + 9x + -2x Combine like terms: 6 + -5 = 1 -11 + 12x = 1 + -7 + 9x + -2x Combine like terms: 1 + -7 = -6 -11 + 12x = -6 + 9x + -2x Combine like terms: 9x + -2x = 7x -11 + 12x = -6 + 7x Solving -11 + 12x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + 12x + -7x = -6 + 7x + -7x Combine like terms: 12x + -7x = 5x -11 + 5x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + 5x = -6 + 0 -11 + 5x = -6 Add '11' to each side of the equation. -11 + 11 + 5x = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = -6 + 11 5x = -6 + 11 Combine like terms: -6 + 11 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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