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Simplifying (7x + 2) + -1(3x + -5) = 15 Reorder the terms: (2 + 7x) + -1(3x + -5) = 15 Remove parenthesis around (2 + 7x) 2 + 7x + -1(3x + -5) = 15 Reorder the terms: 2 + 7x + -1(-5 + 3x) = 15 2 + 7x + (-5 * -1 + 3x * -1) = 15 2 + 7x + (5 + -3x) = 15 Reorder the terms: 2 + 5 + 7x + -3x = 15 Combine like terms: 2 + 5 = 7 7 + 7x + -3x = 15 Combine like terms: 7x + -3x = 4x 7 + 4x = 15 Solving 7 + 4x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 15 + -7 4x = 15 + -7 Combine like terms: 15 + -7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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