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Simplifying -2(x + 7) = x + 1 Reorder the terms: -2(7 + x) = x + 1 (7 * -2 + x * -2) = x + 1 (-14 + -2x) = x + 1 Reorder the terms: -14 + -2x = 1 + x Solving -14 + -2x = 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. -14 + -2x + -1x = 1 + x + -1x Combine like terms: -2x + -1x = -3x -14 + -3x = 1 + x + -1x Combine like terms: x + -1x = 0 -14 + -3x = 1 + 0 -14 + -3x = 1 Add '14' to each side of the equation. -14 + 14 + -3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 1 + 14 -3x = 1 + 14 Combine like terms: 1 + 14 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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