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Simplifying x + 11 = 5(7 + -1x) Reorder the terms: 11 + x = 5(7 + -1x) 11 + x = (7 * 5 + -1x * 5) 11 + x = (35 + -5x) Solving 11 + x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + x + 5x = 35 + -5x + 5x Combine like terms: x + 5x = 6x 11 + 6x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 6x = 35 + 0 11 + 6x = 35 Add '-11' to each side of the equation. 11 + -11 + 6x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 35 + -11 6x = 35 + -11 Combine like terms: 35 + -11 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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