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Simplifying -3(x + 7) = 1 + -1x Reorder the terms: -3(7 + x) = 1 + -1x (7 * -3 + x * -3) = 1 + -1x (-21 + -3x) = 1 + -1x Solving -21 + -3x = 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. -21 + -3x + x = 1 + -1x + x Combine like terms: -3x + x = -2x -21 + -2x = 1 + -1x + x Combine like terms: -1x + x = 0 -21 + -2x = 1 + 0 -21 + -2x = 1 Add '21' to each side of the equation. -21 + 21 + -2x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 1 + 21 -2x = 1 + 21 Combine like terms: 1 + 21 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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