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Simplifying 2x + -3(3 + -4x) = 5(x + -3) + -39 2x + (3 * -3 + -4x * -3) = 5(x + -3) + -39 2x + (-9 + 12x) = 5(x + -3) + -39 Reorder the terms: -9 + 2x + 12x = 5(x + -3) + -39 Combine like terms: 2x + 12x = 14x -9 + 14x = 5(x + -3) + -39 Reorder the terms: -9 + 14x = 5(-3 + x) + -39 -9 + 14x = (-3 * 5 + x * 5) + -39 -9 + 14x = (-15 + 5x) + -39 Reorder the terms: -9 + 14x = -15 + -39 + 5x Combine like terms: -15 + -39 = -54 -9 + 14x = -54 + 5x Solving -9 + 14x = -54 + 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. -9 + 14x + -5x = -54 + 5x + -5x Combine like terms: 14x + -5x = 9x -9 + 9x = -54 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 9x = -54 + 0 -9 + 9x = -54 Add '9' to each side of the equation. -9 + 9 + 9x = -54 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -54 + 9 9x = -54 + 9 Combine like terms: -54 + 9 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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