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Simplifying 7 + -1(6 + 7x) = 12x + 1 7 + (6 * -1 + 7x * -1) = 12x + 1 7 + (-6 + -7x) = 12x + 1 Combine like terms: 7 + -6 = 1 1 + -7x = 12x + 1 Reorder the terms: 1 + -7x = 1 + 12x Add '-1' to each side of the equation. 1 + -1 + -7x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 0 + -7x = 1 + -1 + 12x -7x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 -7x = 0 + 12x -7x = 12x Solving -7x = 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. -7x + -12x = 12x + -12x Combine like terms: -7x + -12x = -19x -19x = 12x + -12x Combine like terms: 12x + -12x = 0 -19x = 0 Divide each side by '-19'. x = 0 Simplifying x = 0
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