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Simplifying 9x + -1(4 + -2x) = 3(2x + 7) 9x + (4 * -1 + -2x * -1) = 3(2x + 7) 9x + (-4 + 2x) = 3(2x + 7) Reorder the terms: -4 + 9x + 2x = 3(2x + 7) Combine like terms: 9x + 2x = 11x -4 + 11x = 3(2x + 7) Reorder the terms: -4 + 11x = 3(7 + 2x) -4 + 11x = (7 * 3 + 2x * 3) -4 + 11x = (21 + 6x) Solving -4 + 11x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 11x + -6x = 21 + 6x + -6x Combine like terms: 11x + -6x = 5x -4 + 5x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 5x = 21 + 0 -4 + 5x = 21 Add '4' to each side of the equation. -4 + 4 + 5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 21 + 4 5x = 21 + 4 Combine like terms: 21 + 4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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