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Simplifying 2(x + -4) + 14(x + 6) = 0 Reorder the terms: 2(-4 + x) + 14(x + 6) = 0 (-4 * 2 + x * 2) + 14(x + 6) = 0 (-8 + 2x) + 14(x + 6) = 0 Reorder the terms: -8 + 2x + 14(6 + x) = 0 -8 + 2x + (6 * 14 + x * 14) = 0 -8 + 2x + (84 + 14x) = 0 Reorder the terms: -8 + 84 + 2x + 14x = 0 Combine like terms: -8 + 84 = 76 76 + 2x + 14x = 0 Combine like terms: 2x + 14x = 16x 76 + 16x = 0 Solving 76 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 16x = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 16x = 0 + -76 16x = 0 + -76 Combine like terms: 0 + -76 = -76 16x = -76 Divide each side by '16'. x = -4.75 Simplifying x = -4.75
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