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Simplifying 4 + 11(1 + -4x) = -5(7x + -6) + -6 4 + (1 * 11 + -4x * 11) = -5(7x + -6) + -6 4 + (11 + -44x) = -5(7x + -6) + -6 Combine like terms: 4 + 11 = 15 15 + -44x = -5(7x + -6) + -6 Reorder the terms: 15 + -44x = -5(-6 + 7x) + -6 15 + -44x = (-6 * -5 + 7x * -5) + -6 15 + -44x = (30 + -35x) + -6 Reorder the terms: 15 + -44x = 30 + -6 + -35x Combine like terms: 30 + -6 = 24 15 + -44x = 24 + -35x Solving 15 + -44x = 24 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 15 + -44x + 35x = 24 + -35x + 35x Combine like terms: -44x + 35x = -9x 15 + -9x = 24 + -35x + 35x Combine like terms: -35x + 35x = 0 15 + -9x = 24 + 0 15 + -9x = 24 Add '-15' to each side of the equation. 15 + -15 + -9x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 24 + -15 -9x = 24 + -15 Combine like terms: 24 + -15 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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