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Simplifying 12 + -7x = -6(1 + 2x) + 3 12 + -7x = (1 * -6 + 2x * -6) + 3 12 + -7x = (-6 + -12x) + 3 Reorder the terms: 12 + -7x = -6 + 3 + -12x Combine like terms: -6 + 3 = -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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