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Simplifying -6(1 + -2x) + 3(6 + x) = 8x + 3x (1 * -6 + -2x * -6) + 3(6 + x) = 8x + 3x (-6 + 12x) + 3(6 + x) = 8x + 3x -6 + 12x + (6 * 3 + x * 3) = 8x + 3x -6 + 12x + (18 + 3x) = 8x + 3x Reorder the terms: -6 + 18 + 12x + 3x = 8x + 3x Combine like terms: -6 + 18 = 12 12 + 12x + 3x = 8x + 3x Combine like terms: 12x + 3x = 15x 12 + 15x = 8x + 3x Combine like terms: 8x + 3x = 11x 12 + 15x = 11x Solving 12 + 15x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 15x + -11x = 11x + -11x Combine like terms: 15x + -11x = 4x 12 + 4x = 11x + -11x Combine like terms: 11x + -11x = 0 12 + 4x = 0 Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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