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Simplifying -7(1 + -4x) = 13(2x + -3) (1 * -7 + -4x * -7) = 13(2x + -3) (-7 + 28x) = 13(2x + -3) Reorder the terms: -7 + 28x = 13(-3 + 2x) -7 + 28x = (-3 * 13 + 2x * 13) -7 + 28x = (-39 + 26x) Solving -7 + 28x = -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 + 28x + -26x = -39 + 26x + -26x Combine like terms: 28x + -26x = 2x -7 + 2x = -39 + 26x + -26x Combine like terms: 26x + -26x = 0 -7 + 2x = -39 + 0 -7 + 2x = -39 Add '7' to each side of the equation. -7 + 7 + 2x = -39 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -39 + 7 2x = -39 + 7 Combine like terms: -39 + 7 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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