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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 = -13 -13 + x = 26(x + 7) Reorder the terms: -13 + x = 26(7 + x) -13 + x = (7 * 26 + x * 26) -13 + x = (182 + 26x) Solving -13 + 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. -13 + x + -26x = 182 + 26x + -26x Combine like terms: x + -26x = -25x -13 + -25x = 182 + 26x + -26x Combine like terms: 26x + -26x = 0 -13 + -25x = 182 + 0 -13 + -25x = 182 Add '13' to each side of the equation. -13 + 13 + -25x = 182 + 13 Combine like terms: -13 + 13 = 0 0 + -25x = 182 + 13 -25x = 182 + 13 Combine like terms: 182 + 13 = 195 -25x = 195 Divide each side by '-25'. x = -7.8 Simplifying x = -7.8
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