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Simplifying 7x + -1(3x + 7) = 2x + -17 Reorder the terms: 7x + -1(7 + 3x) = 2x + -17 7x + (7 * -1 + 3x * -1) = 2x + -17 7x + (-7 + -3x) = 2x + -17 Reorder the terms: -7 + 7x + -3x = 2x + -17 Combine like terms: 7x + -3x = 4x -7 + 4x = 2x + -17 Reorder the terms: -7 + 4x = -17 + 2x Solving -7 + 4x = -17 + 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 + 4x + -2x = -17 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = -17 + 0 -7 + 2x = -17 Add '7' to each side of the equation. -7 + 7 + 2x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -17 + 7 2x = -17 + 7 Combine like terms: -17 + 7 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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