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Simplifying 9x + -2(2 + -3x) = 5(x + -4) + -14 9x + (2 * -2 + -3x * -2) = 5(x + -4) + -14 9x + (-4 + 6x) = 5(x + -4) + -14 Reorder the terms: -4 + 9x + 6x = 5(x + -4) + -14 Combine like terms: 9x + 6x = 15x -4 + 15x = 5(x + -4) + -14 Reorder the terms: -4 + 15x = 5(-4 + x) + -14 -4 + 15x = (-4 * 5 + x * 5) + -14 -4 + 15x = (-20 + 5x) + -14 Reorder the terms: -4 + 15x = -20 + -14 + 5x Combine like terms: -20 + -14 = -34 -4 + 15x = -34 + 5x Solving -4 + 15x = -34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 15x + -5x = -34 + 5x + -5x Combine like terms: 15x + -5x = 10x -4 + 10x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 10x = -34 + 0 -4 + 10x = -34 Add '4' to each side of the equation. -4 + 4 + 10x = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -34 + 4 10x = -34 + 4 Combine like terms: -34 + 4 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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