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Simplifying -13 + 8x = 5(5x + 35) + x Reorder the terms: -13 + 8x = 5(35 + 5x) + x -13 + 8x = (35 * 5 + 5x * 5) + x -13 + 8x = (175 + 25x) + x Combine like terms: 25x + x = 26x -13 + 8x = 175 + 26x Solving -13 + 8x = 175 + 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 + 8x + -26x = 175 + 26x + -26x Combine like terms: 8x + -26x = -18x -13 + -18x = 175 + 26x + -26x Combine like terms: 26x + -26x = 0 -13 + -18x = 175 + 0 -13 + -18x = 175 Add '13' to each side of the equation. -13 + 13 + -18x = 175 + 13 Combine like terms: -13 + 13 = 0 0 + -18x = 175 + 13 -18x = 175 + 13 Combine like terms: 175 + 13 = 188 -18x = 188 Divide each side by '-18'. x = -10.44444444 Simplifying x = -10.44444444
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