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Simplifying 5(3x + 7) + -1(4x + -6) = 0 Reorder the terms: 5(7 + 3x) + -1(4x + -6) = 0 (7 * 5 + 3x * 5) + -1(4x + -6) = 0 (35 + 15x) + -1(4x + -6) = 0 Reorder the terms: 35 + 15x + -1(-6 + 4x) = 0 35 + 15x + (-6 * -1 + 4x * -1) = 0 35 + 15x + (6 + -4x) = 0 Reorder the terms: 35 + 6 + 15x + -4x = 0 Combine like terms: 35 + 6 = 41 41 + 15x + -4x = 0 Combine like terms: 15x + -4x = 11x 41 + 11x = 0 Solving 41 + 11x = 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 + 11x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 11x = 0 + -41 11x = 0 + -41 Combine like terms: 0 + -41 = -41 11x = -41 Divide each side by '11'. x = -3.727272727 Simplifying x = -3.727272727
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