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Simplifying 11x + 42 + -2x = 100 + -9x + -22 Reorder the terms: 42 + 11x + -2x = 100 + -9x + -22 Combine like terms: 11x + -2x = 9x 42 + 9x = 100 + -9x + -22 Reorder the terms: 42 + 9x = 100 + -22 + -9x Combine like terms: 100 + -22 = 78 42 + 9x = 78 + -9x Solving 42 + 9x = 78 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 42 + 9x + 9x = 78 + -9x + 9x Combine like terms: 9x + 9x = 18x 42 + 18x = 78 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 18x = 78 + 0 42 + 18x = 78 Add '-42' to each side of the equation. 42 + -42 + 18x = 78 + -42 Combine like terms: 42 + -42 = 0 0 + 18x = 78 + -42 18x = 78 + -42 Combine like terms: 78 + -42 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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