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