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Simplifying 9x + 5(x + -2) = 2(x + -3) Reorder the terms: 9x + 5(-2 + x) = 2(x + -3) 9x + (-2 * 5 + x * 5) = 2(x + -3) 9x + (-10 + 5x) = 2(x + -3) Reorder the terms: -10 + 9x + 5x = 2(x + -3) Combine like terms: 9x + 5x = 14x -10 + 14x = 2(x + -3) Reorder the terms: -10 + 14x = 2(-3 + x) -10 + 14x = (-3 * 2 + x * 2) -10 + 14x = (-6 + 2x) Solving -10 + 14x = -6 + 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. -10 + 14x + -2x = -6 + 2x + -2x Combine like terms: 14x + -2x = 12x -10 + 12x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 12x = -6 + 0 -10 + 12x = -6 Add '10' to each side of the equation. -10 + 10 + 12x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = -6 + 10 12x = -6 + 10 Combine like terms: -6 + 10 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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