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Simplifying 3x + 6 + -6(-2x + -1) = 3(x + -1) Reorder the terms: 3x + 6 + -6(-1 + -2x) = 3(x + -1) 3x + 6 + (-1 * -6 + -2x * -6) = 3(x + -1) 3x + 6 + (6 + 12x) = 3(x + -1) Reorder the terms: 6 + 6 + 3x + 12x = 3(x + -1) Combine like terms: 6 + 6 = 12 12 + 3x + 12x = 3(x + -1) Combine like terms: 3x + 12x = 15x 12 + 15x = 3(x + -1) Reorder the terms: 12 + 15x = 3(-1 + x) 12 + 15x = (-1 * 3 + x * 3) 12 + 15x = (-3 + 3x) Solving 12 + 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. 12 + 15x + -3x = -3 + 3x + -3x Combine like terms: 15x + -3x = 12x 12 + 12x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 12x = -3 + 0 12 + 12x = -3 Add '-12' to each side of the equation. 12 + -12 + 12x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -3 + -12 12x = -3 + -12 Combine like terms: -3 + -12 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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