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Simplifying 11x + 122 = -11x + 6 + -7x Reorder the terms: 122 + 11x = -11x + 6 + -7x Reorder the terms: 122 + 11x = 6 + -11x + -7x Combine like terms: -11x + -7x = -18x 122 + 11x = 6 + -18x Solving 122 + 11x = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 122 + 11x + 18x = 6 + -18x + 18x Combine like terms: 11x + 18x = 29x 122 + 29x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 122 + 29x = 6 + 0 122 + 29x = 6 Add '-122' to each side of the equation. 122 + -122 + 29x = 6 + -122 Combine like terms: 122 + -122 = 0 0 + 29x = 6 + -122 29x = 6 + -122 Combine like terms: 6 + -122 = -116 29x = -116 Divide each side by '29'. x = -4 Simplifying x = -4
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