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Simplifying -6(2 + 6x) + 2x = 7x + -12 (2 * -6 + 6x * -6) + 2x = 7x + -12 (-12 + -36x) + 2x = 7x + -12 Combine like terms: -36x + 2x = -34x -12 + -34x = 7x + -12 Reorder the terms: -12 + -34x = -12 + 7x Add '12' to each side of the equation. -12 + 12 + -34x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + -34x = -12 + 12 + 7x -34x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 -34x = 0 + 7x -34x = 7x Solving -34x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -34x + -7x = 7x + -7x Combine like terms: -34x + -7x = -41x -41x = 7x + -7x Combine like terms: 7x + -7x = 0 -41x = 0 Divide each side by '-41'. x = 0 Simplifying x = 0
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