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Simplifying 7 + 5(5x + 2) = 4x + 3(3x + 1) Reorder the terms: 7 + 5(2 + 5x) = 4x + 3(3x + 1) 7 + (2 * 5 + 5x * 5) = 4x + 3(3x + 1) 7 + (10 + 25x) = 4x + 3(3x + 1) Combine like terms: 7 + 10 = 17 17 + 25x = 4x + 3(3x + 1) Reorder the terms: 17 + 25x = 4x + 3(1 + 3x) 17 + 25x = 4x + (1 * 3 + 3x * 3) 17 + 25x = 4x + (3 + 9x) Reorder the terms: 17 + 25x = 3 + 4x + 9x Combine like terms: 4x + 9x = 13x 17 + 25x = 3 + 13x Solving 17 + 25x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 25x + -13x = 3 + 13x + -13x Combine like terms: 25x + -13x = 12x 17 + 12x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + 12x = 3 + 0 17 + 12x = 3 Add '-17' to each side of the equation. 17 + -17 + 12x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = 3 + -17 12x = 3 + -17 Combine like terms: 3 + -17 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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