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Simplifying -4x + 11 = 1 + x + -7x Reorder the terms: 11 + -4x = 1 + x + -7x Combine like terms: x + -7x = -6x 11 + -4x = 1 + -6x Solving 11 + -4x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11 + -4x + 6x = 1 + -6x + 6x Combine like terms: -4x + 6x = 2x 11 + 2x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + 2x = 1 + 0 11 + 2x = 1 Add '-11' to each side of the equation. 11 + -11 + 2x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 1 + -11 2x = 1 + -11 Combine like terms: 1 + -11 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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