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Simplifying 4(7x + -1) = 13(2x + -2) Reorder the terms: 4(-1 + 7x) = 13(2x + -2) (-1 * 4 + 7x * 4) = 13(2x + -2) (-4 + 28x) = 13(2x + -2) Reorder the terms: -4 + 28x = 13(-2 + 2x) -4 + 28x = (-2 * 13 + 2x * 13) -4 + 28x = (-26 + 26x) Solving -4 + 28x = -26 + 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. -4 + 28x + -26x = -26 + 26x + -26x Combine like terms: 28x + -26x = 2x -4 + 2x = -26 + 26x + -26x Combine like terms: 26x + -26x = 0 -4 + 2x = -26 + 0 -4 + 2x = -26 Add '4' to each side of the equation. -4 + 4 + 2x = -26 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -26 + 4 2x = -26 + 4 Combine like terms: -26 + 4 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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