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Simplifying (5x + -7) = ((3x + 1) + -1x) Reorder the terms: (-7 + 5x) = ((3x + 1) + -1x) Remove parenthesis around (-7 + 5x) -7 + 5x = ((3x + 1) + -1x) Reorder the terms: -7 + 5x = ((1 + 3x) + -1x) Remove parenthesis around (1 + 3x) -7 + 5x = (1 + 3x + -1x) Combine like terms: 3x + -1x = 2x -7 + 5x = (1 + 2x) Remove parenthesis around (1 + 2x) -7 + 5x = 1 + 2x Solving -7 + 5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 1 + 0 -7 + 3x = 1 Add '7' to each side of the equation. -7 + 7 + 3x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 1 + 7 3x = 1 + 7 Combine like terms: 1 + 7 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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