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Simplifying 5(5x + 4) + -3(5x + -7) = 0 Reorder the terms: 5(4 + 5x) + -3(5x + -7) = 0 (4 * 5 + 5x * 5) + -3(5x + -7) = 0 (20 + 25x) + -3(5x + -7) = 0 Reorder the terms: 20 + 25x + -3(-7 + 5x) = 0 20 + 25x + (-7 * -3 + 5x * -3) = 0 20 + 25x + (21 + -15x) = 0 Reorder the terms: 20 + 21 + 25x + -15x = 0 Combine like terms: 20 + 21 = 41 41 + 25x + -15x = 0 Combine like terms: 25x + -15x = 10x 41 + 10x = 0 Solving 41 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 10x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 10x = 0 + -41 10x = 0 + -41 Combine like terms: 0 + -41 = -41 10x = -41 Divide each side by '10'. x = -4.1 Simplifying x = -4.1
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