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Simplifying 6x + 7 + -2(-3x + -1) = 3(x + -1) Reorder the terms: 6x + 7 + -2(-1 + -3x) = 3(x + -1) 6x + 7 + (-1 * -2 + -3x * -2) = 3(x + -1) 6x + 7 + (2 + 6x) = 3(x + -1) Reorder the terms: 7 + 2 + 6x + 6x = 3(x + -1) Combine like terms: 7 + 2 = 9 9 + 6x + 6x = 3(x + -1) Combine like terms: 6x + 6x = 12x 9 + 12x = 3(x + -1) Reorder the terms: 9 + 12x = 3(-1 + x) 9 + 12x = (-1 * 3 + x * 3) 9 + 12x = (-3 + 3x) Solving 9 + 12x = -3 + 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. 9 + 12x + -3x = -3 + 3x + -3x Combine like terms: 12x + -3x = 9x 9 + 9x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 9x = -3 + 0 9 + 9x = -3 Add '-9' to each side of the equation. 9 + -9 + 9x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -3 + -9 9x = -3 + -9 Combine like terms: -3 + -9 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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