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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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