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Simplifying -7(1 + -9x) = 13(2x + -3) (1 * -7 + -9x * -7) = 13(2x + -3) (-7 + 63x) = 13(2x + -3) Reorder the terms: -7 + 63x = 13(-3 + 2x) -7 + 63x = (-3 * 13 + 2x * 13) -7 + 63x = (-39 + 26x) Solving -7 + 63x = -39 + 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 + 63x + -26x = -39 + 26x + -26x Combine like terms: 63x + -26x = 37x -7 + 37x = -39 + 26x + -26x Combine like terms: 26x + -26x = 0 -7 + 37x = -39 + 0 -7 + 37x = -39 Add '7' to each side of the equation. -7 + 7 + 37x = -39 + 7 Combine like terms: -7 + 7 = 0 0 + 37x = -39 + 7 37x = -39 + 7 Combine like terms: -39 + 7 = -32 37x = -32 Divide each side by '37'. x = -0.8648648649 Simplifying x = -0.8648648649
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