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Simplifying (7x + 1) + -1(6x + 3) = 5 Reorder the terms: (1 + 7x) + -1(6x + 3) = 5 Remove parenthesis around (1 + 7x) 1 + 7x + -1(6x + 3) = 5 Reorder the terms: 1 + 7x + -1(3 + 6x) = 5 1 + 7x + (3 * -1 + 6x * -1) = 5 1 + 7x + (-3 + -6x) = 5 Reorder the terms: 1 + -3 + 7x + -6x = 5 Combine like terms: 1 + -3 = -2 -2 + 7x + -6x = 5 Combine like terms: 7x + -6x = 1x -2 + 1x = 5 Solving -2 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 5 + 2 1x = 5 + 2 Combine like terms: 5 + 2 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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