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Simplifying (2x + -6) = 3 + -5(x + 4) Reorder the terms: (-6 + 2x) = 3 + -5(x + 4) Remove parenthesis around (-6 + 2x) -6 + 2x = 3 + -5(x + 4) Reorder the terms: -6 + 2x = 3 + -5(4 + x) -6 + 2x = 3 + (4 * -5 + x * -5) -6 + 2x = 3 + (-20 + -5x) Combine like terms: 3 + -20 = -17 -6 + 2x = -17 + -5x Solving -6 + 2x = -17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 2x + 5x = -17 + -5x + 5x Combine like terms: 2x + 5x = 7x -6 + 7x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 7x = -17 + 0 -6 + 7x = -17 Add '6' to each side of the equation. -6 + 6 + 7x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -17 + 6 7x = -17 + 6 Combine like terms: -17 + 6 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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