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Simplifying 6(2 + -1x) = 12 + 3(2x + 5) (2 * 6 + -1x * 6) = 12 + 3(2x + 5) (12 + -6x) = 12 + 3(2x + 5) Reorder the terms: 12 + -6x = 12 + 3(5 + 2x) 12 + -6x = 12 + (5 * 3 + 2x * 3) 12 + -6x = 12 + (15 + 6x) Combine like terms: 12 + 15 = 27 12 + -6x = 27 + 6x Solving 12 + -6x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -6x + -6x = 27 + 6x + -6x Combine like terms: -6x + -6x = -12x 12 + -12x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -12x = 27 + 0 12 + -12x = 27 Add '-12' to each side of the equation. 12 + -12 + -12x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 27 + -12 -12x = 27 + -12 Combine like terms: 27 + -12 = 15 -12x = 15 Divide each side by '-12'. x = -1.25 Simplifying x = -1.25
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