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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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