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Simplifying 5(5x + 3) + -2(4x + -1) = 0 Reorder the terms: 5(3 + 5x) + -2(4x + -1) = 0 (3 * 5 + 5x * 5) + -2(4x + -1) = 0 (15 + 25x) + -2(4x + -1) = 0 Reorder the terms: 15 + 25x + -2(-1 + 4x) = 0 15 + 25x + (-1 * -2 + 4x * -2) = 0 15 + 25x + (2 + -8x) = 0 Reorder the terms: 15 + 2 + 25x + -8x = 0 Combine like terms: 15 + 2 = 17 17 + 25x + -8x = 0 Combine like terms: 25x + -8x = 17x 17 + 17x = 0 Solving 17 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 17x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 17x = 0 + -17 17x = 0 + -17 Combine like terms: 0 + -17 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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