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Simplifying 6x + -1(3x + 5) = 9x + -11 Reorder the terms: 6x + -1(5 + 3x) = 9x + -11 6x + (5 * -1 + 3x * -1) = 9x + -11 6x + (-5 + -3x) = 9x + -11 Reorder the terms: -5 + 6x + -3x = 9x + -11 Combine like terms: 6x + -3x = 3x -5 + 3x = 9x + -11 Reorder the terms: -5 + 3x = -11 + 9x Solving -5 + 3x = -11 + 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. -5 + 3x + -9x = -11 + 9x + -9x Combine like terms: 3x + -9x = -6x -5 + -6x = -11 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -6x = -11 + 0 -5 + -6x = -11 Add '5' to each side of the equation. -5 + 5 + -6x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -11 + 5 -6x = -11 + 5 Combine like terms: -11 + 5 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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