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Simplifying 9x + -1(4x + -3) = 11 + (2x + -2) Reorder the terms: 9x + -1(-3 + 4x) = 11 + (2x + -2) 9x + (-3 * -1 + 4x * -1) = 11 + (2x + -2) 9x + (3 + -4x) = 11 + (2x + -2) Reorder the terms: 3 + 9x + -4x = 11 + (2x + -2) Combine like terms: 9x + -4x = 5x 3 + 5x = 11 + (2x + -2) Reorder the terms: 3 + 5x = 11 + (-2 + 2x) Remove parenthesis around (-2 + 2x) 3 + 5x = 11 + -2 + 2x Combine like terms: 11 + -2 = 9 3 + 5x = 9 + 2x Solving 3 + 5x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 5x + -2x = 9 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = 9 + 0 3 + 3x = 9 Add '-3' to each side of the equation. 3 + -3 + 3x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 9 + -3 3x = 9 + -3 Combine like terms: 9 + -3 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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