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Simplifying x + 3 = -1(7 + x) Reorder the terms: 3 + x = -1(7 + x) 3 + x = (7 * -1 + x * -1) 3 + x = (-7 + -1x) Solving 3 + x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + x + x = -7 + -1x + x Combine like terms: x + x = 2x 3 + 2x = -7 + -1x + x Combine like terms: -1x + x = 0 3 + 2x = -7 + 0 3 + 2x = -7 Add '-3' to each side of the equation. 3 + -3 + 2x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -7 + -3 2x = -7 + -3 Combine like terms: -7 + -3 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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