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Simplifying 7(x + 11) = 18x + 22 Reorder the terms: 7(11 + x) = 18x + 22 (11 * 7 + x * 7) = 18x + 22 (77 + 7x) = 18x + 22 Reorder the terms: 77 + 7x = 22 + 18x Solving 77 + 7x = 22 + 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. 77 + 7x + -18x = 22 + 18x + -18x Combine like terms: 7x + -18x = -11x 77 + -11x = 22 + 18x + -18x Combine like terms: 18x + -18x = 0 77 + -11x = 22 + 0 77 + -11x = 22 Add '-77' to each side of the equation. 77 + -77 + -11x = 22 + -77 Combine like terms: 77 + -77 = 0 0 + -11x = 22 + -77 -11x = 22 + -77 Combine like terms: 22 + -77 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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