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Simplifying 7(x + -1) + 11(x + 12) = 0 Reorder the terms: 7(-1 + x) + 11(x + 12) = 0 (-1 * 7 + x * 7) + 11(x + 12) = 0 (-7 + 7x) + 11(x + 12) = 0 Reorder the terms: -7 + 7x + 11(12 + x) = 0 -7 + 7x + (12 * 11 + x * 11) = 0 -7 + 7x + (132 + 11x) = 0 Reorder the terms: -7 + 132 + 7x + 11x = 0 Combine like terms: -7 + 132 = 125 125 + 7x + 11x = 0 Combine like terms: 7x + 11x = 18x 125 + 18x = 0 Solving 125 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + 18x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 18x = 0 + -125 18x = 0 + -125 Combine like terms: 0 + -125 = -125 18x = -125 Divide each side by '18'. x = -6.944444444 Simplifying x = -6.944444444
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