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Simplifying 11x + -1(6 + -7x) = 4x + (5x + -10) 11x + (6 * -1 + -7x * -1) = 4x + (5x + -10) 11x + (-6 + 7x) = 4x + (5x + -10) Reorder the terms: -6 + 11x + 7x = 4x + (5x + -10) Combine like terms: 11x + 7x = 18x -6 + 18x = 4x + (5x + -10) Reorder the terms: -6 + 18x = 4x + (-10 + 5x) Remove parenthesis around (-10 + 5x) -6 + 18x = 4x + -10 + 5x Reorder the terms: -6 + 18x = -10 + 4x + 5x Combine like terms: 4x + 5x = 9x -6 + 18x = -10 + 9x Solving -6 + 18x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 18x + -9x = -10 + 9x + -9x Combine like terms: 18x + -9x = 9x -6 + 9x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 9x = -10 + 0 -6 + 9x = -10 Add '6' to each side of the equation. -6 + 6 + 9x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -10 + 6 9x = -10 + 6 Combine like terms: -10 + 6 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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