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Simplifying -12 + -7x = 6(6x + -3) + 6 Reorder the terms: -12 + -7x = 6(-3 + 6x) + 6 -12 + -7x = (-3 * 6 + 6x * 6) + 6 -12 + -7x = (-18 + 36x) + 6 Reorder the terms: -12 + -7x = -18 + 6 + 36x Combine like terms: -18 + 6 = -12 -12 + -7x = -12 + 36x Add '12' to each side of the equation. -12 + 12 + -7x = -12 + 12 + 36x Combine like terms: -12 + 12 = 0 0 + -7x = -12 + 12 + 36x -7x = -12 + 12 + 36x Combine like terms: -12 + 12 = 0 -7x = 0 + 36x -7x = 36x Solving -7x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -7x + -36x = 36x + -36x Combine like terms: -7x + -36x = -43x -43x = 36x + -36x Combine like terms: 36x + -36x = 0 -43x = 0 Divide each side by '-43'. x = 0 Simplifying x = 0
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