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Simplifying 2x + -22 + -9x = 42 + 11x + -100 Reorder the terms: -22 + 2x + -9x = 42 + 11x + -100 Combine like terms: 2x + -9x = -7x -22 + -7x = 42 + 11x + -100 Reorder the terms: -22 + -7x = 42 + -100 + 11x Combine like terms: 42 + -100 = -58 -22 + -7x = -58 + 11x Solving -22 + -7x = -58 + 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. -22 + -7x + -11x = -58 + 11x + -11x Combine like terms: -7x + -11x = -18x -22 + -18x = -58 + 11x + -11x Combine like terms: 11x + -11x = 0 -22 + -18x = -58 + 0 -22 + -18x = -58 Add '22' to each side of the equation. -22 + 22 + -18x = -58 + 22 Combine like terms: -22 + 22 = 0 0 + -18x = -58 + 22 -18x = -58 + 22 Combine like terms: -58 + 22 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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