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Simplifying -1(x + 7) = 3(3 + -3x) Reorder the terms: -1(7 + x) = 3(3 + -3x) (7 * -1 + x * -1) = 3(3 + -3x) (-7 + -1x) = 3(3 + -3x) -7 + -1x = (3 * 3 + -3x * 3) -7 + -1x = (9 + -9x) Solving -7 + -1x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + -1x + 9x = 9 + -9x + 9x Combine like terms: -1x + 9x = 8x -7 + 8x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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