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Simplifying 6(x + 7) + 3(x + 2) = 0 Reorder the terms: 6(7 + x) + 3(x + 2) = 0 (7 * 6 + x * 6) + 3(x + 2) = 0 (42 + 6x) + 3(x + 2) = 0 Reorder the terms: 42 + 6x + 3(2 + x) = 0 42 + 6x + (2 * 3 + x * 3) = 0 42 + 6x + (6 + 3x) = 0 Reorder the terms: 42 + 6 + 6x + 3x = 0 Combine like terms: 42 + 6 = 48 48 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 48 + 9x = 0 Solving 48 + 9x = 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 + 9x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 0 + -48 9x = 0 + -48 Combine like terms: 0 + -48 = -48 9x = -48 Divide each side by '9'. x = -5.333333333 Simplifying x = -5.333333333
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