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Simplifying -1(3x + 6) = 5 + -1(2 + -1x) Reorder the terms: -1(6 + 3x) = 5 + -1(2 + -1x) (6 * -1 + 3x * -1) = 5 + -1(2 + -1x) (-6 + -3x) = 5 + -1(2 + -1x) -6 + -3x = 5 + (2 * -1 + -1x * -1) -6 + -3x = 5 + (-2 + 1x) Combine like terms: 5 + -2 = 3 -6 + -3x = 3 + 1x Solving -6 + -3x = 3 + 1x 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. -6 + -3x + -1x = 3 + 1x + -1x Combine like terms: -3x + -1x = -4x -6 + -4x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -4x = 3 + 0 -6 + -4x = 3 Add '6' to each side of the equation. -6 + 6 + -4x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 3 + 6 -4x = 3 + 6 Combine like terms: 3 + 6 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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