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Simplifying 3(x + -5) + 14(x + 6) = 0 Reorder the terms: 3(-5 + x) + 14(x + 6) = 0 (-5 * 3 + x * 3) + 14(x + 6) = 0 (-15 + 3x) + 14(x + 6) = 0 Reorder the terms: -15 + 3x + 14(6 + x) = 0 -15 + 3x + (6 * 14 + x * 14) = 0 -15 + 3x + (84 + 14x) = 0 Reorder the terms: -15 + 84 + 3x + 14x = 0 Combine like terms: -15 + 84 = 69 69 + 3x + 14x = 0 Combine like terms: 3x + 14x = 17x 69 + 17x = 0 Solving 69 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 17x = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 17x = 0 + -69 17x = 0 + -69 Combine like terms: 0 + -69 = -69 17x = -69 Divide each side by '17'. x = -4.058823529 Simplifying x = -4.058823529
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