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Simplifying -12 + -6x = -7(6 + 3x) -12 + -6x = (6 * -7 + 3x * -7) -12 + -6x = (-42 + -21x) Solving -12 + -6x = -42 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -12 + -6x + 21x = -42 + -21x + 21x Combine like terms: -6x + 21x = 15x -12 + 15x = -42 + -21x + 21x Combine like terms: -21x + 21x = 0 -12 + 15x = -42 + 0 -12 + 15x = -42 Add '12' to each side of the equation. -12 + 12 + 15x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = -42 + 12 15x = -42 + 12 Combine like terms: -42 + 12 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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