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Simplifying 6(x + -2) + 14(x + 13) = 0 Reorder the terms: 6(-2 + x) + 14(x + 13) = 0 (-2 * 6 + x * 6) + 14(x + 13) = 0 (-12 + 6x) + 14(x + 13) = 0 Reorder the terms: -12 + 6x + 14(13 + x) = 0 -12 + 6x + (13 * 14 + x * 14) = 0 -12 + 6x + (182 + 14x) = 0 Reorder the terms: -12 + 182 + 6x + 14x = 0 Combine like terms: -12 + 182 = 170 170 + 6x + 14x = 0 Combine like terms: 6x + 14x = 20x 170 + 20x = 0 Solving 170 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-170' to each side of the equation. 170 + -170 + 20x = 0 + -170 Combine like terms: 170 + -170 = 0 0 + 20x = 0 + -170 20x = 0 + -170 Combine like terms: 0 + -170 = -170 20x = -170 Divide each side by '20'. x = -8.5 Simplifying x = -8.5
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