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Simplifying 2x + -7 = -1(x + 1) Reorder the terms: -7 + 2x = -1(x + 1) Reorder the terms: -7 + 2x = -1(1 + x) -7 + 2x = (1 * -1 + x * -1) -7 + 2x = (-1 + -1x) Solving -7 + 2x = -1 + -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. -7 + 2x + x = -1 + -1x + x Combine like terms: 2x + x = 3x -7 + 3x = -1 + -1x + x Combine like terms: -1x + x = 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 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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