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Simplifying 7(x + -2) + -1(6x + 6) = 7 Reorder the terms: 7(-2 + x) + -1(6x + 6) = 7 (-2 * 7 + x * 7) + -1(6x + 6) = 7 (-14 + 7x) + -1(6x + 6) = 7 Reorder the terms: -14 + 7x + -1(6 + 6x) = 7 -14 + 7x + (6 * -1 + 6x * -1) = 7 -14 + 7x + (-6 + -6x) = 7 Reorder the terms: -14 + -6 + 7x + -6x = 7 Combine like terms: -14 + -6 = -20 -20 + 7x + -6x = 7 Combine like terms: 7x + -6x = 1x -20 + 1x = 7 Solving -20 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 7 + 20 1x = 7 + 20 Combine like terms: 7 + 20 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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