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Simplifying (7x + -2) + 1 = 3x + 6 Reorder the terms: (-2 + 7x) + 1 = 3x + 6 Remove parenthesis around (-2 + 7x) -2 + 7x + 1 = 3x + 6 Reorder the terms: -2 + 1 + 7x = 3x + 6 Combine like terms: -2 + 1 = -1 -1 + 7x = 3x + 6 Reorder the terms: -1 + 7x = 6 + 3x Solving -1 + 7x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x -1 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 4x = 6 + 0 -1 + 4x = 6 Add '1' to each side of the equation. -1 + 1 + 4x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 6 + 1 4x = 6 + 1 Combine like terms: 6 + 1 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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