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Simplifying -17 + -5x = -4x + 7(x + 1) Reorder the terms: -17 + -5x = -4x + 7(1 + x) -17 + -5x = -4x + (1 * 7 + x * 7) -17 + -5x = -4x + (7 + 7x) Reorder the terms: -17 + -5x = 7 + -4x + 7x Combine like terms: -4x + 7x = 3x -17 + -5x = 7 + 3x Solving -17 + -5x = 7 + 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. -17 + -5x + -3x = 7 + 3x + -3x Combine like terms: -5x + -3x = -8x -17 + -8x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + -8x = 7 + 0 -17 + -8x = 7 Add '17' to each side of the equation. -17 + 17 + -8x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 7 + 17 -8x = 7 + 17 Combine like terms: 7 + 17 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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