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Simplifying 6x + 7 + -2x + -4 = (-3x + -5) + -17 Reorder the terms: 7 + -4 + 6x + -2x = (-3x + -5) + -17 Combine like terms: 7 + -4 = 3 3 + 6x + -2x = (-3x + -5) + -17 Combine like terms: 6x + -2x = 4x 3 + 4x = (-3x + -5) + -17 Reorder the terms: 3 + 4x = (-5 + -3x) + -17 Remove parenthesis around (-5 + -3x) 3 + 4x = -5 + -3x + -17 Reorder the terms: 3 + 4x = -5 + -17 + -3x Combine like terms: -5 + -17 = -22 3 + 4x = -22 + -3x Solving 3 + 4x = -22 + -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. 3 + 4x + 3x = -22 + -3x + 3x Combine like terms: 4x + 3x = 7x 3 + 7x = -22 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 7x = -22 + 0 3 + 7x = -22 Add '-3' to each side of the equation. 3 + -3 + 7x = -22 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -22 + -3 7x = -22 + -3 Combine like terms: -22 + -3 = -25 7x = -25 Divide each side by '7'. x = -3.571428571 Simplifying x = -3.571428571
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