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Simplifying 7(5 + 3x) + -6(x + 3) = 0 (5 * 7 + 3x * 7) + -6(x + 3) = 0 (35 + 21x) + -6(x + 3) = 0 Reorder the terms: 35 + 21x + -6(3 + x) = 0 35 + 21x + (3 * -6 + x * -6) = 0 35 + 21x + (-18 + -6x) = 0 Reorder the terms: 35 + -18 + 21x + -6x = 0 Combine like terms: 35 + -18 = 17 17 + 21x + -6x = 0 Combine like terms: 21x + -6x = 15x 17 + 15x = 0 Solving 17 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 15x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 15x = 0 + -17 15x = 0 + -17 Combine like terms: 0 + -17 = -17 15x = -17 Divide each side by '15'. x = -1.133333333 Simplifying x = -1.133333333
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