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Simplifying 6x + -11 = 9x + -1(5x + 11) Reorder the terms: -11 + 6x = 9x + -1(5x + 11) Reorder the terms: -11 + 6x = 9x + -1(11 + 5x) -11 + 6x = 9x + (11 * -1 + 5x * -1) -11 + 6x = 9x + (-11 + -5x) Reorder the terms: -11 + 6x = -11 + 9x + -5x Combine like terms: 9x + -5x = 4x -11 + 6x = -11 + 4x Add '11' to each side of the equation. -11 + 11 + 6x = -11 + 11 + 4x Combine like terms: -11 + 11 = 0 0 + 6x = -11 + 11 + 4x 6x = -11 + 11 + 4x Combine like terms: -11 + 11 = 0 6x = 0 + 4x 6x = 4x Solving 6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x = 4x + -4x Combine like terms: 6x + -4x = 2x 2x = 4x + -4x Combine like terms: 4x + -4x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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