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Simplifying 3(x + -5) + 11(x + 7) = 0 Reorder the terms: 3(-5 + x) + 11(x + 7) = 0 (-5 * 3 + x * 3) + 11(x + 7) = 0 (-15 + 3x) + 11(x + 7) = 0 Reorder the terms: -15 + 3x + 11(7 + x) = 0 -15 + 3x + (7 * 11 + x * 11) = 0 -15 + 3x + (77 + 11x) = 0 Reorder the terms: -15 + 77 + 3x + 11x = 0 Combine like terms: -15 + 77 = 62 62 + 3x + 11x = 0 Combine like terms: 3x + 11x = 14x 62 + 14x = 0 Solving 62 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + 14x = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 14x = 0 + -62 14x = 0 + -62 Combine like terms: 0 + -62 = -62 14x = -62 Divide each side by '14'. x = -4.428571429 Simplifying x = -4.428571429
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