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Simplifying 7(x + 5) = x + -1 Reorder the terms: 7(5 + x) = x + -1 (5 * 7 + x * 7) = x + -1 (35 + 7x) = x + -1 Reorder the terms: 35 + 7x = -1 + x Solving 35 + 7x = -1 + 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 = -1 + x + -1x Combine like terms: 7x + -1x = 6x 35 + 6x = -1 + x + -1x Combine like terms: x + -1x = 0 35 + 6x = -1 + 0 35 + 6x = -1 Add '-35' to each side of the equation. 35 + -35 + 6x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = -1 + -35 6x = -1 + -35 Combine like terms: -1 + -35 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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