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Simplifying 7(3x + -2) + 3(x + 5) = 0 Reorder the terms: 7(-2 + 3x) + 3(x + 5) = 0 (-2 * 7 + 3x * 7) + 3(x + 5) = 0 (-14 + 21x) + 3(x + 5) = 0 Reorder the terms: -14 + 21x + 3(5 + x) = 0 -14 + 21x + (5 * 3 + x * 3) = 0 -14 + 21x + (15 + 3x) = 0 Reorder the terms: -14 + 15 + 21x + 3x = 0 Combine like terms: -14 + 15 = 1 1 + 21x + 3x = 0 Combine like terms: 21x + 3x = 24x 1 + 24x = 0 Solving 1 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 24x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 24x = 0 + -1 24x = 0 + -1 Combine like terms: 0 + -1 = -1 24x = -1 Divide each side by '24'. x = -0.04166666667 Simplifying x = -0.04166666667
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