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Simplifying (5(x + 6) + 7x) = x Reorder the terms: (5(6 + x) + 7x) = x ((6 * 5 + x * 5) + 7x) = x ((30 + 5x) + 7x) = x Combine like terms: 5x + 7x = 12x (30 + 12x) = x Remove parenthesis around (30 + 12x) 30 + 12x = x Solving 30 + 12x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 12x + -1x = x + -1x Combine like terms: 12x + -1x = 11x 30 + 11x = x + -1x Combine like terms: x + -1x = 0 30 + 11x = 0 Add '-30' to each side of the equation. 30 + -30 + 11x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 11x = 0 + -30 11x = 0 + -30 Combine like terms: 0 + -30 = -30 11x = -30 Divide each side by '11'. x = -2.727272727 Simplifying x = -2.727272727
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