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Simplifying 9 + -1(2 + -3x) = 6 + 2x + -1(5 + x) 9 + (2 * -1 + -3x * -1) = 6 + 2x + -1(5 + x) 9 + (-2 + 3x) = 6 + 2x + -1(5 + x) Combine like terms: 9 + -2 = 7 7 + 3x = 6 + 2x + -1(5 + x) 7 + 3x = 6 + 2x + (5 * -1 + x * -1) 7 + 3x = 6 + 2x + (-5 + -1x) Reorder the terms: 7 + 3x = 6 + -5 + 2x + -1x Combine like terms: 6 + -5 = 1 7 + 3x = 1 + 2x + -1x Combine like terms: 2x + -1x = 1x 7 + 3x = 1 + 1x Solving 7 + 3x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 3x + -1x = 1 + 1x + -1x Combine like terms: 3x + -1x = 2x 7 + 2x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 2x = 1 + 0 7 + 2x = 1 Add '-7' to each side of the equation. 7 + -7 + 2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 1 + -7 2x = 1 + -7 Combine like terms: 1 + -7 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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