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Simplifying -1(3x + 2) = x + -50 Reorder the terms: -1(2 + 3x) = x + -50 (2 * -1 + 3x * -1) = x + -50 (-2 + -3x) = x + -50 Reorder the terms: -2 + -3x = -50 + x Solving -2 + -3x = -50 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -3x + -1x = -50 + x + -1x Combine like terms: -3x + -1x = -4x -2 + -4x = -50 + x + -1x Combine like terms: x + -1x = 0 -2 + -4x = -50 + 0 -2 + -4x = -50 Add '2' to each side of the equation. -2 + 2 + -4x = -50 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -50 + 2 -4x = -50 + 2 Combine like terms: -50 + 2 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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