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Simplifying 7(5 + -3x) + 5(5x + -3) = 0 (5 * 7 + -3x * 7) + 5(5x + -3) = 0 (35 + -21x) + 5(5x + -3) = 0 Reorder the terms: 35 + -21x + 5(-3 + 5x) = 0 35 + -21x + (-3 * 5 + 5x * 5) = 0 35 + -21x + (-15 + 25x) = 0 Reorder the terms: 35 + -15 + -21x + 25x = 0 Combine like terms: 35 + -15 = 20 20 + -21x + 25x = 0 Combine like terms: -21x + 25x = 4x 20 + 4x = 0 Solving 20 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 0 + -20 4x = 0 + -20 Combine like terms: 0 + -20 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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