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Simplifying 7(x + -11) = 12x + -122 Reorder the terms: 7(-11 + x) = 12x + -122 (-11 * 7 + x * 7) = 12x + -122 (-77 + 7x) = 12x + -122 Reorder the terms: -77 + 7x = -122 + 12x Solving -77 + 7x = -122 + 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. -77 + 7x + -12x = -122 + 12x + -12x Combine like terms: 7x + -12x = -5x -77 + -5x = -122 + 12x + -12x Combine like terms: 12x + -12x = 0 -77 + -5x = -122 + 0 -77 + -5x = -122 Add '77' to each side of the equation. -77 + 77 + -5x = -122 + 77 Combine like terms: -77 + 77 = 0 0 + -5x = -122 + 77 -5x = -122 + 77 Combine like terms: -122 + 77 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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