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Simplifying -3(x + 3) = 7(1 + -1x) Reorder the terms: -3(3 + x) = 7(1 + -1x) (3 * -3 + x * -3) = 7(1 + -1x) (-9 + -3x) = 7(1 + -1x) -9 + -3x = (1 * 7 + -1x * 7) -9 + -3x = (7 + -7x) Solving -9 + -3x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9 + -3x + 7x = 7 + -7x + 7x Combine like terms: -3x + 7x = 4x -9 + 4x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 4x = 7 + 0 -9 + 4x = 7 Add '9' to each side of the equation. -9 + 9 + 4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 7 + 9 4x = 7 + 9 Combine like terms: 7 + 9 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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