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Simplifying 5(5x + -1) + 4 = 7x + 2 Reorder the terms: 5(-1 + 5x) + 4 = 7x + 2 (-1 * 5 + 5x * 5) + 4 = 7x + 2 (-5 + 25x) + 4 = 7x + 2 Reorder the terms: -5 + 4 + 25x = 7x + 2 Combine like terms: -5 + 4 = -1 -1 + 25x = 7x + 2 Reorder the terms: -1 + 25x = 2 + 7x Solving -1 + 25x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 25x + -7x = 2 + 7x + -7x Combine like terms: 25x + -7x = 18x -1 + 18x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 18x = 2 + 0 -1 + 18x = 2 Add '1' to each side of the equation. -1 + 1 + 18x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 18x = 2 + 1 18x = 2 + 1 Combine like terms: 2 + 1 = 3 18x = 3 Divide each side by '18'. x = 0.1666666667 Simplifying x = 0.1666666667
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