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Simplifying (-1x + 2) + -1(6x + 3) = 5x + -9 Reorder the terms: (2 + -1x) + -1(6x + 3) = 5x + -9 Remove parenthesis around (2 + -1x) 2 + -1x + -1(6x + 3) = 5x + -9 Reorder the terms: 2 + -1x + -1(3 + 6x) = 5x + -9 2 + -1x + (3 * -1 + 6x * -1) = 5x + -9 2 + -1x + (-3 + -6x) = 5x + -9 Reorder the terms: 2 + -3 + -1x + -6x = 5x + -9 Combine like terms: 2 + -3 = -1 -1 + -1x + -6x = 5x + -9 Combine like terms: -1x + -6x = -7x -1 + -7x = 5x + -9 Reorder the terms: -1 + -7x = -9 + 5x Solving -1 + -7x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -7x + -5x = -9 + 5x + -5x Combine like terms: -7x + -5x = -12x -1 + -12x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -12x = -9 + 0 -1 + -12x = -9 Add '1' to each side of the equation. -1 + 1 + -12x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = -9 + 1 -12x = -9 + 1 Combine like terms: -9 + 1 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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