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Simplifying (7x + -5) + -1(3x + -2) = 7 Reorder the terms: (-5 + 7x) + -1(3x + -2) = 7 Remove parenthesis around (-5 + 7x) -5 + 7x + -1(3x + -2) = 7 Reorder the terms: -5 + 7x + -1(-2 + 3x) = 7 -5 + 7x + (-2 * -1 + 3x * -1) = 7 -5 + 7x + (2 + -3x) = 7 Reorder the terms: -5 + 2 + 7x + -3x = 7 Combine like terms: -5 + 2 = -3 -3 + 7x + -3x = 7 Combine like terms: 7x + -3x = 4x -3 + 4x = 7 Solving -3 + 4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 7 + 3 4x = 7 + 3 Combine like terms: 7 + 3 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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