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Simplifying -1(3 + x) = 8 + -3(1 + -1x) (3 * -1 + x * -1) = 8 + -3(1 + -1x) (-3 + -1x) = 8 + -3(1 + -1x) -3 + -1x = 8 + (1 * -3 + -1x * -3) -3 + -1x = 8 + (-3 + 3x) Combine like terms: 8 + -3 = 5 -3 + -1x = 5 + 3x Solving -3 + -1x = 5 + 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. -3 + -1x + -3x = 5 + 3x + -3x Combine like terms: -1x + -3x = -4x -3 + -4x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -4x = 5 + 0 -3 + -4x = 5 Add '3' to each side of the equation. -3 + 3 + -4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 5 + 3 -4x = 5 + 3 Combine like terms: 5 + 3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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