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Simplifying 5(5x + 7) + -2(4x + -6) = 0 Reorder the terms: 5(7 + 5x) + -2(4x + -6) = 0 (7 * 5 + 5x * 5) + -2(4x + -6) = 0 (35 + 25x) + -2(4x + -6) = 0 Reorder the terms: 35 + 25x + -2(-6 + 4x) = 0 35 + 25x + (-6 * -2 + 4x * -2) = 0 35 + 25x + (12 + -8x) = 0 Reorder the terms: 35 + 12 + 25x + -8x = 0 Combine like terms: 35 + 12 = 47 47 + 25x + -8x = 0 Combine like terms: 25x + -8x = 17x 47 + 17x = 0 Solving 47 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 17x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 17x = 0 + -47 17x = 0 + -47 Combine like terms: 0 + -47 = -47 17x = -47 Divide each side by '17'. x = -2.764705882 Simplifying x = -2.764705882
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