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Simplifying 9x + -5(3 + -1x) = 2(x + 6) 9x + (3 * -5 + -1x * -5) = 2(x + 6) 9x + (-15 + 5x) = 2(x + 6) Reorder the terms: -15 + 9x + 5x = 2(x + 6) Combine like terms: 9x + 5x = 14x -15 + 14x = 2(x + 6) Reorder the terms: -15 + 14x = 2(6 + x) -15 + 14x = (6 * 2 + x * 2) -15 + 14x = (12 + 2x) Solving -15 + 14x = 12 + 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. -15 + 14x + -2x = 12 + 2x + -2x Combine like terms: 14x + -2x = 12x -15 + 12x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 12x = 12 + 0 -15 + 12x = 12 Add '15' to each side of the equation. -15 + 15 + 12x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 12 + 15 12x = 12 + 15 Combine like terms: 12 + 15 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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