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Simplifying 7(x + 5) = (x + 5) Reorder the terms: 7(5 + x) = (x + 5) (5 * 7 + x * 7) = (x + 5) (35 + 7x) = (x + 5) Reorder the terms: 35 + 7x = (5 + x) Remove parenthesis around (5 + x) 35 + 7x = 5 + x Solving 35 + 7x = 5 + 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 = 5 + x + -1x Combine like terms: 7x + -1x = 6x 35 + 6x = 5 + x + -1x Combine like terms: x + -1x = 0 35 + 6x = 5 + 0 35 + 6x = 5 Add '-35' to each side of the equation. 35 + -35 + 6x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 5 + -35 6x = 5 + -35 Combine like terms: 5 + -35 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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