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