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Simplifying 5(5x + -1) + -7x = 7 + 3(3x + -1) Reorder the terms: 5(-1 + 5x) + -7x = 7 + 3(3x + -1) (-1 * 5 + 5x * 5) + -7x = 7 + 3(3x + -1) (-5 + 25x) + -7x = 7 + 3(3x + -1) Combine like terms: 25x + -7x = 18x -5 + 18x = 7 + 3(3x + -1) Reorder the terms: -5 + 18x = 7 + 3(-1 + 3x) -5 + 18x = 7 + (-1 * 3 + 3x * 3) -5 + 18x = 7 + (-3 + 9x) Combine like terms: 7 + -3 = 4 -5 + 18x = 4 + 9x Solving -5 + 18x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 18x + -9x = 4 + 9x + -9x Combine like terms: 18x + -9x = 9x -5 + 9x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 9x = 4 + 0 -5 + 9x = 4 Add '5' to each side of the equation. -5 + 5 + 9x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 4 + 5 9x = 4 + 5 Combine like terms: 4 + 5 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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