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Simplifying 7(2x + -7) = x + 81 Reorder the terms: 7(-7 + 2x) = x + 81 (-7 * 7 + 2x * 7) = x + 81 (-49 + 14x) = x + 81 Reorder the terms: -49 + 14x = 81 + x Solving -49 + 14x = 81 + x 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. -49 + 14x + -1x = 81 + x + -1x Combine like terms: 14x + -1x = 13x -49 + 13x = 81 + x + -1x Combine like terms: x + -1x = 0 -49 + 13x = 81 + 0 -49 + 13x = 81 Add '49' to each side of the equation. -49 + 49 + 13x = 81 + 49 Combine like terms: -49 + 49 = 0 0 + 13x = 81 + 49 13x = 81 + 49 Combine like terms: 81 + 49 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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