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Simplifying 2(6x + -1) + -9x + -5 = 8 + -1(3x + 2) Reorder the terms: 2(-1 + 6x) + -9x + -5 = 8 + -1(3x + 2) (-1 * 2 + 6x * 2) + -9x + -5 = 8 + -1(3x + 2) (-2 + 12x) + -9x + -5 = 8 + -1(3x + 2) Reorder the terms: -2 + -5 + 12x + -9x = 8 + -1(3x + 2) Combine like terms: -2 + -5 = -7 -7 + 12x + -9x = 8 + -1(3x + 2) Combine like terms: 12x + -9x = 3x -7 + 3x = 8 + -1(3x + 2) Reorder the terms: -7 + 3x = 8 + -1(2 + 3x) -7 + 3x = 8 + (2 * -1 + 3x * -1) -7 + 3x = 8 + (-2 + -3x) Combine like terms: 8 + -2 = 6 -7 + 3x = 6 + -3x Solving -7 + 3x = 6 + -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. -7 + 3x + 3x = 6 + -3x + 3x Combine like terms: 3x + 3x = 6x -7 + 6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 6x = 6 + 0 -7 + 6x = 6 Add '7' to each side of the equation. -7 + 7 + 6x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 6 + 7 6x = 6 + 7 Combine like terms: 6 + 7 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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