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Simplifying 9x + -1(3 + -4x) = 6(x + 3) 9x + (3 * -1 + -4x * -1) = 6(x + 3) 9x + (-3 + 4x) = 6(x + 3) Reorder the terms: -3 + 9x + 4x = 6(x + 3) Combine like terms: 9x + 4x = 13x -3 + 13x = 6(x + 3) Reorder the terms: -3 + 13x = 6(3 + x) -3 + 13x = (3 * 6 + x * 6) -3 + 13x = (18 + 6x) Solving -3 + 13x = 18 + 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. -3 + 13x + -6x = 18 + 6x + -6x Combine like terms: 13x + -6x = 7x -3 + 7x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 7x = 18 + 0 -3 + 7x = 18 Add '3' to each side of the equation. -3 + 3 + 7x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 18 + 3 7x = 18 + 3 Combine like terms: 18 + 3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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