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Simplifying 6(x + -7) + 12(x + 9) = 0 Reorder the terms: 6(-7 + x) + 12(x + 9) = 0 (-7 * 6 + x * 6) + 12(x + 9) = 0 (-42 + 6x) + 12(x + 9) = 0 Reorder the terms: -42 + 6x + 12(9 + x) = 0 -42 + 6x + (9 * 12 + x * 12) = 0 -42 + 6x + (108 + 12x) = 0 Reorder the terms: -42 + 108 + 6x + 12x = 0 Combine like terms: -42 + 108 = 66 66 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x 66 + 18x = 0 Solving 66 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 18x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 18x = 0 + -66 18x = 0 + -66 Combine like terms: 0 + -66 = -66 18x = -66 Divide each side by '18'. x = -3.666666667 Simplifying x = -3.666666667
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