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Simplifying -9x + -17(x + 3) = 5(5x + 4) Reorder the terms: -9x + -17(3 + x) = 5(5x + 4) -9x + (3 * -17 + x * -17) = 5(5x + 4) -9x + (-51 + -17x) = 5(5x + 4) Reorder the terms: -51 + -9x + -17x = 5(5x + 4) Combine like terms: -9x + -17x = -26x -51 + -26x = 5(5x + 4) Reorder the terms: -51 + -26x = 5(4 + 5x) -51 + -26x = (4 * 5 + 5x * 5) -51 + -26x = (20 + 25x) Solving -51 + -26x = 20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -51 + -26x + -25x = 20 + 25x + -25x Combine like terms: -26x + -25x = -51x -51 + -51x = 20 + 25x + -25x Combine like terms: 25x + -25x = 0 -51 + -51x = 20 + 0 -51 + -51x = 20 Add '51' to each side of the equation. -51 + 51 + -51x = 20 + 51 Combine like terms: -51 + 51 = 0 0 + -51x = 20 + 51 -51x = 20 + 51 Combine like terms: 20 + 51 = 71 -51x = 71 Divide each side by '-51'. x = -1.392156863 Simplifying x = -1.392156863
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