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Simplifying 12 + 7x = 15 + -6(3 + -2x) 12 + 7x = 15 + (3 * -6 + -2x * -6) 12 + 7x = 15 + (-18 + 12x) Combine like terms: 15 + -18 = -3 12 + 7x = -3 + 12x Solving 12 + 7x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 7x + -12x = -3 + 12x + -12x Combine like terms: 7x + -12x = -5x 12 + -5x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -5x = -3 + 0 12 + -5x = -3 Add '-12' to each side of the equation. 12 + -12 + -5x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -3 + -12 -5x = -3 + -12 Combine like terms: -3 + -12 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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