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Simplifying 9 + -5(x + 4) = 7x + -1(6x + 5) Reorder the terms: 9 + -5(4 + x) = 7x + -1(6x + 5) 9 + (4 * -5 + x * -5) = 7x + -1(6x + 5) 9 + (-20 + -5x) = 7x + -1(6x + 5) Combine like terms: 9 + -20 = -11 -11 + -5x = 7x + -1(6x + 5) Reorder the terms: -11 + -5x = 7x + -1(5 + 6x) -11 + -5x = 7x + (5 * -1 + 6x * -1) -11 + -5x = 7x + (-5 + -6x) Reorder the terms: -11 + -5x = -5 + 7x + -6x Combine like terms: 7x + -6x = 1x -11 + -5x = -5 + 1x Solving -11 + -5x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + -5x + -1x = -5 + 1x + -1x Combine like terms: -5x + -1x = -6x -11 + -6x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -11 + -6x = -5 + 0 -11 + -6x = -5 Add '11' to each side of the equation. -11 + 11 + -6x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = -5 + 11 -6x = -5 + 11 Combine like terms: -5 + 11 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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