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Simplifying 9x + 1 + -3(-2x + -2) = 3(x + -1) Reorder the terms: 9x + 1 + -3(-2 + -2x) = 3(x + -1) 9x + 1 + (-2 * -3 + -2x * -3) = 3(x + -1) 9x + 1 + (6 + 6x) = 3(x + -1) Reorder the terms: 1 + 6 + 9x + 6x = 3(x + -1) Combine like terms: 1 + 6 = 7 7 + 9x + 6x = 3(x + -1) Combine like terms: 9x + 6x = 15x 7 + 15x = 3(x + -1) Reorder the terms: 7 + 15x = 3(-1 + x) 7 + 15x = (-1 * 3 + x * 3) 7 + 15x = (-3 + 3x) Solving 7 + 15x = -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. 7 + 15x + -3x = -3 + 3x + -3x Combine like terms: 15x + -3x = 12x 7 + 12x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 12x = -3 + 0 7 + 12x = -3 Add '-7' to each side of the equation. 7 + -7 + 12x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -3 + -7 12x = -3 + -7 Combine like terms: -3 + -7 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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