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Simplifying 1 + -1(7x + 6) = 7 + -9x Reorder the terms: 1 + -1(6 + 7x) = 7 + -9x 1 + (6 * -1 + 7x * -1) = 7 + -9x 1 + (-6 + -7x) = 7 + -9x Combine like terms: 1 + -6 = -5 -5 + -7x = 7 + -9x Solving -5 + -7x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -5 + -7x + 9x = 7 + -9x + 9x Combine like terms: -7x + 9x = 2x -5 + 2x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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