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Simplifying 2(x + -7) + 11(x + 14) = 0 Reorder the terms: 2(-7 + x) + 11(x + 14) = 0 (-7 * 2 + x * 2) + 11(x + 14) = 0 (-14 + 2x) + 11(x + 14) = 0 Reorder the terms: -14 + 2x + 11(14 + x) = 0 -14 + 2x + (14 * 11 + x * 11) = 0 -14 + 2x + (154 + 11x) = 0 Reorder the terms: -14 + 154 + 2x + 11x = 0 Combine like terms: -14 + 154 = 140 140 + 2x + 11x = 0 Combine like terms: 2x + 11x = 13x 140 + 13x = 0 Solving 140 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 13x = 0 + -140 Combine like terms: 140 + -140 = 0 0 + 13x = 0 + -140 13x = 0 + -140 Combine like terms: 0 + -140 = -140 13x = -140 Divide each side by '13'. x = -10.76923077 Simplifying x = -10.76923077
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