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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 = 11 11 + 6x + -2x = (-3x + -5) + -17 Combine like terms: 6x + -2x = 4x 11 + 4x = (-3x + -5) + -17 Reorder the terms: 11 + 4x = (-5 + -3x) + -17 Remove parenthesis around (-5 + -3x) 11 + 4x = -5 + -3x + -17 Reorder the terms: 11 + 4x = -5 + -17 + -3x Combine like terms: -5 + -17 = -22 11 + 4x = -22 + -3x Solving 11 + 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. 11 + 4x + 3x = -22 + -3x + 3x Combine like terms: 4x + 3x = 7x 11 + 7x = -22 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 7x = -22 + 0 11 + 7x = -22 Add '-11' to each side of the equation. 11 + -11 + 7x = -22 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = -22 + -11 7x = -22 + -11 Combine like terms: -22 + -11 = -33 7x = -33 Divide each side by '7'. x = -4.714285714 Simplifying x = -4.714285714
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