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Simplifying 42 + -7x = 11x + 22 Reorder the terms: 42 + -7x = 22 + 11x Solving 42 + -7x = 22 + 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. 42 + -7x + -11x = 22 + 11x + -11x Combine like terms: -7x + -11x = -18x 42 + -18x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + -18x = 22 + 0 42 + -18x = 22 Add '-42' to each side of the equation. 42 + -42 + -18x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -18x = 22 + -42 -18x = 22 + -42 Combine like terms: 22 + -42 = -20 -18x = -20 Divide each side by '-18'. x = 1.111111111 Simplifying x = 1.111111111
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