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Simplifying 5(2x + 11) + -6(3x + 4) = 0 Reorder the terms: 5(11 + 2x) + -6(3x + 4) = 0 (11 * 5 + 2x * 5) + -6(3x + 4) = 0 (55 + 10x) + -6(3x + 4) = 0 Reorder the terms: 55 + 10x + -6(4 + 3x) = 0 55 + 10x + (4 * -6 + 3x * -6) = 0 55 + 10x + (-24 + -18x) = 0 Reorder the terms: 55 + -24 + 10x + -18x = 0 Combine like terms: 55 + -24 = 31 31 + 10x + -18x = 0 Combine like terms: 10x + -18x = -8x 31 + -8x = 0 Solving 31 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -8x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = 0 + -31 -8x = 0 + -31 Combine like terms: 0 + -31 = -31 -8x = -31 Divide each side by '-8'. x = 3.875 Simplifying x = 3.875
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