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Simplifying -6x + 11 = 5x + -1(x + -1) Reorder the terms: 11 + -6x = 5x + -1(x + -1) Reorder the terms: 11 + -6x = 5x + -1(-1 + x) 11 + -6x = 5x + (-1 * -1 + x * -1) 11 + -6x = 5x + (1 + -1x) Reorder the terms: 11 + -6x = 1 + 5x + -1x Combine like terms: 5x + -1x = 4x 11 + -6x = 1 + 4x Solving 11 + -6x = 1 + 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. 11 + -6x + -4x = 1 + 4x + -4x Combine like terms: -6x + -4x = -10x 11 + -10x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -10x = 1 + 0 11 + -10x = 1 Add '-11' to each side of the equation. 11 + -11 + -10x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 1 + -11 -10x = 1 + -11 Combine like terms: 1 + -11 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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