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Simplifying x + -6 + 7 = 26(x + 7) Reorder the terms: -6 + 7 + x = 26(x + 7) Combine like terms: -6 + 7 = 1 1 + x = 26(x + 7) Reorder the terms: 1 + x = 26(7 + x) 1 + x = (7 * 26 + x * 26) 1 + x = (182 + 26x) Solving 1 + x = 182 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 1 + x + -26x = 182 + 26x + -26x Combine like terms: x + -26x = -25x 1 + -25x = 182 + 26x + -26x Combine like terms: 26x + -26x = 0 1 + -25x = 182 + 0 1 + -25x = 182 Add '-1' to each side of the equation. 1 + -1 + -25x = 182 + -1 Combine like terms: 1 + -1 = 0 0 + -25x = 182 + -1 -25x = 182 + -1 Combine like terms: 182 + -1 = 181 -25x = 181 Divide each side by '-25'. x = -7.24 Simplifying x = -7.24
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