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Simplifying 5x + -1(2x + 7) = x + -9(3x + 5) Reorder the terms: 5x + -1(7 + 2x) = x + -9(3x + 5) 5x + (7 * -1 + 2x * -1) = x + -9(3x + 5) 5x + (-7 + -2x) = x + -9(3x + 5) Reorder the terms: -7 + 5x + -2x = x + -9(3x + 5) Combine like terms: 5x + -2x = 3x -7 + 3x = x + -9(3x + 5) Reorder the terms: -7 + 3x = x + -9(5 + 3x) -7 + 3x = x + (5 * -9 + 3x * -9) -7 + 3x = x + (-45 + -27x) Reorder the terms: -7 + 3x = -45 + x + -27x Combine like terms: x + -27x = -26x -7 + 3x = -45 + -26x Solving -7 + 3x = -45 + -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 + 3x + 26x = -45 + -26x + 26x Combine like terms: 3x + 26x = 29x -7 + 29x = -45 + -26x + 26x Combine like terms: -26x + 26x = 0 -7 + 29x = -45 + 0 -7 + 29x = -45 Add '7' to each side of the equation. -7 + 7 + 29x = -45 + 7 Combine like terms: -7 + 7 = 0 0 + 29x = -45 + 7 29x = -45 + 7 Combine like terms: -45 + 7 = -38 29x = -38 Divide each side by '29'. x = -1.310344828 Simplifying x = -1.310344828
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