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Simplifying 5(3x + 6) + 3(7x + 6) = 0 Reorder the terms: 5(6 + 3x) + 3(7x + 6) = 0 (6 * 5 + 3x * 5) + 3(7x + 6) = 0 (30 + 15x) + 3(7x + 6) = 0 Reorder the terms: 30 + 15x + 3(6 + 7x) = 0 30 + 15x + (6 * 3 + 7x * 3) = 0 30 + 15x + (18 + 21x) = 0 Reorder the terms: 30 + 18 + 15x + 21x = 0 Combine like terms: 30 + 18 = 48 48 + 15x + 21x = 0 Combine like terms: 15x + 21x = 36x 48 + 36x = 0 Solving 48 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 36x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 36x = 0 + -48 36x = 0 + -48 Combine like terms: 0 + -48 = -48 36x = -48 Divide each side by '36'. x = -1.333333333 Simplifying x = -1.333333333
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