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Simplifying 9x + -6(3 + -1x) = 3(x + 6) 9x + (3 * -6 + -1x * -6) = 3(x + 6) 9x + (-18 + 6x) = 3(x + 6) Reorder the terms: -18 + 9x + 6x = 3(x + 6) Combine like terms: 9x + 6x = 15x -18 + 15x = 3(x + 6) Reorder the terms: -18 + 15x = 3(6 + x) -18 + 15x = (6 * 3 + x * 3) -18 + 15x = (18 + 3x) Solving -18 + 15x = 18 + 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. -18 + 15x + -3x = 18 + 3x + -3x Combine like terms: 15x + -3x = 12x -18 + 12x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 12x = 18 + 0 -18 + 12x = 18 Add '18' to each side of the equation. -18 + 18 + 12x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 18 + 18 12x = 18 + 18 Combine like terms: 18 + 18 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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