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Simplifying 11(x + -9) + -2 = 18x + -122 Reorder the terms: 11(-9 + x) + -2 = 18x + -122 (-9 * 11 + x * 11) + -2 = 18x + -122 (-99 + 11x) + -2 = 18x + -122 Reorder the terms: -99 + -2 + 11x = 18x + -122 Combine like terms: -99 + -2 = -101 -101 + 11x = 18x + -122 Reorder the terms: -101 + 11x = -122 + 18x Solving -101 + 11x = -122 + 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. -101 + 11x + -18x = -122 + 18x + -18x Combine like terms: 11x + -18x = -7x -101 + -7x = -122 + 18x + -18x Combine like terms: 18x + -18x = 0 -101 + -7x = -122 + 0 -101 + -7x = -122 Add '101' to each side of the equation. -101 + 101 + -7x = -122 + 101 Combine like terms: -101 + 101 = 0 0 + -7x = -122 + 101 -7x = -122 + 101 Combine like terms: -122 + 101 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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