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Simplifying 7(5 + 3x) + -6(x + 5) = 0 (5 * 7 + 3x * 7) + -6(x + 5) = 0 (35 + 21x) + -6(x + 5) = 0 Reorder the terms: 35 + 21x + -6(5 + x) = 0 35 + 21x + (5 * -6 + x * -6) = 0 35 + 21x + (-30 + -6x) = 0 Reorder the terms: 35 + -30 + 21x + -6x = 0 Combine like terms: 35 + -30 = 5 5 + 21x + -6x = 0 Combine like terms: 21x + -6x = 15x 5 + 15x = 0 Solving 5 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 15x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 0 + -5 15x = 0 + -5 Combine like terms: 0 + -5 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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