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Simplifying 2x + -7(x + -1) = 9 + -1(3x + -5) Reorder the terms: 2x + -7(-1 + x) = 9 + -1(3x + -5) 2x + (-1 * -7 + x * -7) = 9 + -1(3x + -5) 2x + (7 + -7x) = 9 + -1(3x + -5) Reorder the terms: 7 + 2x + -7x = 9 + -1(3x + -5) Combine like terms: 2x + -7x = -5x 7 + -5x = 9 + -1(3x + -5) Reorder the terms: 7 + -5x = 9 + -1(-5 + 3x) 7 + -5x = 9 + (-5 * -1 + 3x * -1) 7 + -5x = 9 + (5 + -3x) Combine like terms: 9 + 5 = 14 7 + -5x = 14 + -3x Solving 7 + -5x = 14 + -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. 7 + -5x + 3x = 14 + -3x + 3x Combine like terms: -5x + 3x = -2x 7 + -2x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + -2x = 14 + 0 7 + -2x = 14 Add '-7' to each side of the equation. 7 + -7 + -2x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 14 + -7 -2x = 14 + -7 Combine like terms: 14 + -7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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