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Simplifying 7 + x = -1(2x + 1) Reorder the terms: 7 + x = -1(1 + 2x) 7 + x = (1 * -1 + 2x * -1) 7 + x = (-1 + -2x) Solving 7 + x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + x + 2x = -1 + -2x + 2x Combine like terms: x + 2x = 3x 7 + 3x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 3x = -1 + 0 7 + 3x = -1 Add '-7' to each side of the equation. 7 + -7 + 3x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -1 + -7 3x = -1 + -7 Combine like terms: -1 + -7 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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