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Simplifying 100 + -7x = 11x + 22 Reorder the terms: 100 + -7x = 22 + 11x Solving 100 + -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. 100 + -7x + -11x = 22 + 11x + -11x Combine like terms: -7x + -11x = -18x 100 + -18x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 100 + -18x = 22 + 0 100 + -18x = 22 Add '-100' to each side of the equation. 100 + -100 + -18x = 22 + -100 Combine like terms: 100 + -100 = 0 0 + -18x = 22 + -100 -18x = 22 + -100 Combine like terms: 22 + -100 = -78 -18x = -78 Divide each side by '-18'. x = 4.333333333 Simplifying x = 4.333333333
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