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Simplifying 7(3x + -2) + 5(5 + -4x) = 0 Reorder the terms: 7(-2 + 3x) + 5(5 + -4x) = 0 (-2 * 7 + 3x * 7) + 5(5 + -4x) = 0 (-14 + 21x) + 5(5 + -4x) = 0 -14 + 21x + (5 * 5 + -4x * 5) = 0 -14 + 21x + (25 + -20x) = 0 Reorder the terms: -14 + 25 + 21x + -20x = 0 Combine like terms: -14 + 25 = 11 11 + 21x + -20x = 0 Combine like terms: 21x + -20x = 1x 11 + 1x = 0 Solving 11 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 0 + -11 1x = 0 + -11 Combine like terms: 0 + -11 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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