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Simplifying 11(5 + x) = 12(11 + x) (5 * 11 + x * 11) = 12(11 + x) (55 + 11x) = 12(11 + x) 55 + 11x = (11 * 12 + x * 12) 55 + 11x = (132 + 12x) Solving 55 + 11x = 132 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 55 + 11x + -12x = 132 + 12x + -12x Combine like terms: 11x + -12x = -1x 55 + -1x = 132 + 12x + -12x Combine like terms: 12x + -12x = 0 55 + -1x = 132 + 0 55 + -1x = 132 Add '-55' to each side of the equation. 55 + -55 + -1x = 132 + -55 Combine like terms: 55 + -55 = 0 0 + -1x = 132 + -55 -1x = 132 + -55 Combine like terms: 132 + -55 = 77 -1x = 77 Divide each side by '-1'. x = -77 Simplifying x = -77
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