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Simplifying 8x + -7 = 13(2x + 7) + -5 Reorder the terms: -7 + 8x = 13(2x + 7) + -5 Reorder the terms: -7 + 8x = 13(7 + 2x) + -5 -7 + 8x = (7 * 13 + 2x * 13) + -5 -7 + 8x = (91 + 26x) + -5 Reorder the terms: -7 + 8x = 91 + -5 + 26x Combine like terms: 91 + -5 = 86 -7 + 8x = 86 + 26x Solving -7 + 8x = 86 + 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. -7 + 8x + -26x = 86 + 26x + -26x Combine like terms: 8x + -26x = -18x -7 + -18x = 86 + 26x + -26x Combine like terms: 26x + -26x = 0 -7 + -18x = 86 + 0 -7 + -18x = 86 Add '7' to each side of the equation. -7 + 7 + -18x = 86 + 7 Combine like terms: -7 + 7 = 0 0 + -18x = 86 + 7 -18x = 86 + 7 Combine like terms: 86 + 7 = 93 -18x = 93 Divide each side by '-18'. x = -5.166666667 Simplifying x = -5.166666667
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