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Simplifying 7x + -1(5x + 3) = 4x + -17 Reorder the terms: 7x + -1(3 + 5x) = 4x + -17 7x + (3 * -1 + 5x * -1) = 4x + -17 7x + (-3 + -5x) = 4x + -17 Reorder the terms: -3 + 7x + -5x = 4x + -17 Combine like terms: 7x + -5x = 2x -3 + 2x = 4x + -17 Reorder the terms: -3 + 2x = -17 + 4x Solving -3 + 2x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 2x + -4x = -17 + 4x + -4x Combine like terms: 2x + -4x = -2x -3 + -2x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -2x = -17 + 0 -3 + -2x = -17 Add '3' to each side of the equation. -3 + 3 + -2x = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -17 + 3 -2x = -17 + 3 Combine like terms: -17 + 3 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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