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Simplifying 7(4x + -1) = 26x + 5 Reorder the terms: 7(-1 + 4x) = 26x + 5 (-1 * 7 + 4x * 7) = 26x + 5 (-7 + 28x) = 26x + 5 Reorder the terms: -7 + 28x = 5 + 26x Solving -7 + 28x = 5 + 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 = 5 + 26x + -26x Combine like terms: 28x + -26x = 2x -7 + 2x = 5 + 26x + -26x Combine like terms: 26x + -26x = 0 -7 + 2x = 5 + 0 -7 + 2x = 5 Add '7' to each side of the equation. -7 + 7 + 2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 5 + 7 2x = 5 + 7 Combine like terms: 5 + 7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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