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Simplifying 5(x + -3) + 11(x + 11) = 0 Reorder the terms: 5(-3 + x) + 11(x + 11) = 0 (-3 * 5 + x * 5) + 11(x + 11) = 0 (-15 + 5x) + 11(x + 11) = 0 Reorder the terms: -15 + 5x + 11(11 + x) = 0 -15 + 5x + (11 * 11 + x * 11) = 0 -15 + 5x + (121 + 11x) = 0 Reorder the terms: -15 + 121 + 5x + 11x = 0 Combine like terms: -15 + 121 = 106 106 + 5x + 11x = 0 Combine like terms: 5x + 11x = 16x 106 + 16x = 0 Solving 106 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 16x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 16x = 0 + -106 16x = 0 + -106 Combine like terms: 0 + -106 = -106 16x = -106 Divide each side by '16'. x = -6.625 Simplifying x = -6.625
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