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Simplifying 2(x + -5) + 14(x + 6) = 0 Reorder the terms: 2(-5 + x) + 14(x + 6) = 0 (-5 * 2 + x * 2) + 14(x + 6) = 0 (-10 + 2x) + 14(x + 6) = 0 Reorder the terms: -10 + 2x + 14(6 + x) = 0 -10 + 2x + (6 * 14 + x * 14) = 0 -10 + 2x + (84 + 14x) = 0 Reorder the terms: -10 + 84 + 2x + 14x = 0 Combine like terms: -10 + 84 = 74 74 + 2x + 14x = 0 Combine like terms: 2x + 14x = 16x 74 + 16x = 0 Solving 74 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 16x = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 16x = 0 + -74 16x = 0 + -74 Combine like terms: 0 + -74 = -74 16x = -74 Divide each side by '16'. x = -4.625 Simplifying x = -4.625
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