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Simplifying -1(3x + 1) = 5 + -1x Reorder the terms: -1(1 + 3x) = 5 + -1x (1 * -1 + 3x * -1) = 5 + -1x (-1 + -3x) = 5 + -1x Solving -1 + -3x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + -3x + x = 5 + -1x + x Combine like terms: -3x + x = -2x -1 + -2x = 5 + -1x + x Combine like terms: -1x + x = 0 -1 + -2x = 5 + 0 -1 + -2x = 5 Add '1' to each side of the equation. -1 + 1 + -2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 5 + 1 -2x = 5 + 1 Combine like terms: 5 + 1 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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