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