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Simplifying 8x + 82 = 11(x + 5) Reorder the terms: 82 + 8x = 11(x + 5) Reorder the terms: 82 + 8x = 11(5 + x) 82 + 8x = (5 * 11 + x * 11) 82 + 8x = (55 + 11x) Solving 82 + 8x = 55 + 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. 82 + 8x + -11x = 55 + 11x + -11x Combine like terms: 8x + -11x = -3x 82 + -3x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 82 + -3x = 55 + 0 82 + -3x = 55 Add '-82' to each side of the equation. 82 + -82 + -3x = 55 + -82 Combine like terms: 82 + -82 = 0 0 + -3x = 55 + -82 -3x = 55 + -82 Combine like terms: 55 + -82 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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