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Simplifying 4(x + -7) + 11(x + 13) = 0 Reorder the terms: 4(-7 + x) + 11(x + 13) = 0 (-7 * 4 + x * 4) + 11(x + 13) = 0 (-28 + 4x) + 11(x + 13) = 0 Reorder the terms: -28 + 4x + 11(13 + x) = 0 -28 + 4x + (13 * 11 + x * 11) = 0 -28 + 4x + (143 + 11x) = 0 Reorder the terms: -28 + 143 + 4x + 11x = 0 Combine like terms: -28 + 143 = 115 115 + 4x + 11x = 0 Combine like terms: 4x + 11x = 15x 115 + 15x = 0 Solving 115 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + 15x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 15x = 0 + -115 15x = 0 + -115 Combine like terms: 0 + -115 = -115 15x = -115 Divide each side by '15'. x = -7.666666667 Simplifying x = -7.666666667
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