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Simplifying 5(6x + 7) + -5(2x + -5) = 0 Reorder the terms: 5(7 + 6x) + -5(2x + -5) = 0 (7 * 5 + 6x * 5) + -5(2x + -5) = 0 (35 + 30x) + -5(2x + -5) = 0 Reorder the terms: 35 + 30x + -5(-5 + 2x) = 0 35 + 30x + (-5 * -5 + 2x * -5) = 0 35 + 30x + (25 + -10x) = 0 Reorder the terms: 35 + 25 + 30x + -10x = 0 Combine like terms: 35 + 25 = 60 60 + 30x + -10x = 0 Combine like terms: 30x + -10x = 20x 60 + 20x = 0 Solving 60 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 20x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 20x = 0 + -60 20x = 0 + -60 Combine like terms: 0 + -60 = -60 20x = -60 Divide each side by '20'. x = -3 Simplifying x = -3
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