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Simplifying 7 + -1(9 + -1x) = -3(x + 2) 7 + (9 * -1 + -1x * -1) = -3(x + 2) 7 + (-9 + 1x) = -3(x + 2) Combine like terms: 7 + -9 = -2 -2 + 1x = -3(x + 2) Reorder the terms: -2 + 1x = -3(2 + x) -2 + 1x = (2 * -3 + x * -3) -2 + 1x = (-6 + -3x) Solving -2 + 1x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 1x + 3x = -6 + -3x + 3x Combine like terms: 1x + 3x = 4x -2 + 4x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 4x = -6 + 0 -2 + 4x = -6 Add '2' to each side of the equation. -2 + 2 + 4x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -6 + 2 4x = -6 + 2 Combine like terms: -6 + 2 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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